Finding the Third Proportional to 52,343 and 113,462

Step by Step Solution

1. Step 1: Write the proportion equation
   52,343 : 113,462 = 113,462 : x
2. Step 2: Convert to fraction form
   52,343/113,462 = 113,462/x
3. Step 3: Cross multiply
   52,343x = 113,462 × 113,462
4. Step 4: Simplify right side
   52,343x = 12,873,625,444
5. Step 5: Solve for x
   x = 12,873,625,444/52,343
6. Step 6: Final answer
   x = 245,947.41