Finding the Third Proportional to 80,542.50 and 123,608.25

Step by Step Solution

1. Step 1: Write the proportion equation
   80,542.50 : 123,608.25 = 123,608.25 : x
2. Step 2: Convert to fraction form
   80,542.50/123,608.25 = 123,608.25/x
3. Step 3: Cross multiply
   80,542.50x = 123,608.25 × 123,608.25
4. Step 4: Simplify right side
   80,542.50x = 15,278,999,468.06
5. Step 5: Solve for x
   x = 15,278,999,468.06/80,542.50
6. Step 6: Final answer
   x = 189,701.08