Finding the Third Proportional to 83,116.50 and 181,810.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,116.50 : 181,810.50 = 181,810.50 : x
2. Step 2: Convert to fraction form
   83,116.50/181,810.50 = 181,810.50/x
3. Step 3: Cross multiply
   83,116.50x = 181,810.50 × 181,810.50
4. Step 4: Simplify right side
   83,116.50x = 33,055,057,910.25
5. Step 5: Solve for x
   x = 33,055,057,910.25/83,116.50
6. Step 6: Final answer
   x = 397,695.50