Finding the Third Proportional to 83,376,150.75 and 181,105,193.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83,376,150.75 : 181,105,193.25 = 181,105,193.25 : x
2. Step 2: Convert to fraction form
   83,376,150.75/181,105,193.25 = 181,105,193.25/x
3. Step 3: Cross multiply
   83,376,150.75x = 181,105,193.25 × 181,105,193.25
4. Step 4: Simplify right side
   83,376,150.75x = 32,799,091,022,119,844
5. Step 5: Solve for x
   x = 32,799,091,022,119,844/83,376,150.75
6. Step 6: Final answer
   x = 393,386,966.50