Finding the Third Proportional to 83,229,864 and 178,731,468

Step by Step Solution

1. Step 1: Write the proportion equation
   83,229,864 : 178,731,468 = 178,731,468 : x
2. Step 2: Convert to fraction form
   83,229,864/178,731,468 = 178,731,468/x
3. Step 3: Cross multiply
   83,229,864x = 178,731,468 × 178,731,468
4. Step 4: Simplify right side
   83,229,864x = 31,944,937,653,435,024
5. Step 5: Solve for x
   x = 31,944,937,653,435,024/83,229,864
6. Step 6: Final answer
   x = 383,815,809.83