Finding the Third Proportional to 120,532.50 and 181,892.25

Step by Step Solution

1. Step 1: Write the proportion equation
   120,532.50 : 181,892.25 = 181,892.25 : x
2. Step 2: Convert to fraction form
   120,532.50/181,892.25 = 181,892.25/x
3. Step 3: Cross multiply
   120,532.50x = 181,892.25 × 181,892.25
4. Step 4: Simplify right side
   120,532.50x = 33,084,790,610.06
5. Step 5: Solve for x
   x = 33,084,790,610.06/120,532.50
6. Step 6: Final answer
   x = 274,488.55