Finding the Third Proportional to 83,101.50 and 181,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,101.50 : 181,435.50 = 181,435.50 : x
2. Step 2: Convert to fraction form
   83,101.50/181,435.50 = 181,435.50/x
3. Step 3: Cross multiply
   83,101.50x = 181,435.50 × 181,435.50
4. Step 4: Simplify right side
   83,101.50x = 32,918,840,660.25
5. Step 5: Solve for x
   x = 32,918,840,660.25/83,101.50
6. Step 6: Final answer
   x = 396,128.12