Finding the Third Proportional to 25,571,516,982,462 and 52,498,654,575,510

Step by Step Solution

1. Step 1: Write the proportion equation
   25,571,516,982,462 : 52,498,654,575,510 = 52,498,654,575,510 : x
2. Step 2: Convert to fraction form
   25,571,516,982,462/52,498,654,575,510 = 52,498,654,575,510/x
3. Step 3: Cross multiply
   25,571,516,982,462x = 52,498,654,575,510 × 52,498,654,575,510
4. Step 4: Simplify right side
   25,571,516,982,462x = 2,756,108,732,238,717,280,980,041,728
5. Step 5: Solve for x
   x = 2,756,108,732,238,717,280,980,041,728/25,571,516,982,462
6. Step 6: Final answer
   x = 107,780,415,769,974.47