Finding the Third Proportional to 116,387,830 and 175,067,664

Step by Step Solution

1. Step 1: Write the proportion equation
   116,387,830 : 175,067,664 = 175,067,664 : x
2. Step 2: Convert to fraction form
   116,387,830/175,067,664 = 175,067,664/x
3. Step 3: Cross multiply
   116,387,830x = 175,067,664 × 175,067,664
4. Step 4: Simplify right side
   116,387,830x = 30,648,686,978,416,896
5. Step 5: Solve for x
   x = 30,648,686,978,416,896/116,387,830
6. Step 6: Final answer
   x = 263,332,403.21