Finding the Third Proportional to 57,565 and 124,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,565 : 124,978.50 = 124,978.50 : x
2. Step 2: Convert to fraction form
   57,565/124,978.50 = 124,978.50/x
3. Step 3: Cross multiply
   57,565x = 124,978.50 × 124,978.50
4. Step 4: Simplify right side
   57,565x = 15,619,625,462.25
5. Step 5: Solve for x
   x = 15,619,625,462.25/57,565
6. Step 6: Final answer
   x = 271,338.93