Finding the Third Proportional to 60,538 and 123,539.50

Step by Step Solution

1. Step 1: Write the proportion equation
   60,538 : 123,539.50 = 123,539.50 : x
2. Step 2: Convert to fraction form
   60,538/123,539.50 = 123,539.50/x
3. Step 3: Cross multiply
   60,538x = 123,539.50 × 123,539.50
4. Step 4: Simplify right side
   60,538x = 15,262,008,060.25
5. Step 5: Solve for x
   x = 15,262,008,060.25/60,538
6. Step 6: Final answer
   x = 252,106.25