Finding the Third Proportional to 83,602.13 and 181,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,602.13 : 181,966.50 = 181,966.50 : x
2. Step 2: Convert to fraction form
   83,602.13/181,966.50 = 181,966.50/x
3. Step 3: Cross multiply
   83,602.13x = 181,966.50 × 181,966.50
4. Step 4: Simplify right side
   83,602.13x = 33,111,807,122.25
5. Step 5: Solve for x
   x = 33,111,807,122.25/83,602.13
6. Step 6: Final answer
   x = 396,064.18