Finding the Third Proportional to 83,178,049.50 and 185,481,353.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,178,049.50 : 185,481,353.25 = 185,481,353.25 : x
2. Step 2: Convert to fraction form
   83,178,049.50/185,481,353.25 = 185,481,353.25/x
3. Step 3: Cross multiply
   83,178,049.50x = 185,481,353.25 × 185,481,353.25
4. Step 4: Simplify right side
   83,178,049.50x = 34,403,332,403,451,284
5. Step 5: Solve for x
   x = 34,403,332,403,451,284/83,178,049.50
6. Step 6: Final answer
   x = 413,610,713.53