Finding the Third Proportional to 60,561 and 123,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   60,561 : 123,577.50 = 123,577.50 : x
2. Step 2: Convert to fraction form
   60,561/123,577.50 = 123,577.50/x
3. Step 3: Cross multiply
   60,561x = 123,577.50 × 123,577.50
4. Step 4: Simplify right side
   60,561x = 15,271,398,506.25
5. Step 5: Solve for x
   x = 15,271,398,506.25/60,561
6. Step 6: Final answer
   x = 252,165.56