Finding the Third Proportional to 105,001,596 and 164,341,386

Step by Step Solution

1. Step 1: Write the proportion equation
   105,001,596 : 164,341,386 = 164,341,386 : x
2. Step 2: Convert to fraction form
   105,001,596/164,341,386 = 164,341,386/x
3. Step 3: Cross multiply
   105,001,596x = 164,341,386 × 164,341,386
4. Step 4: Simplify right side
   105,001,596x = 27,008,091,152,400,996
5. Step 5: Solve for x
   x = 27,008,091,152,400,996/105,001,596
6. Step 6: Final answer
   x = 257,216,006.05