Finding the Third Proportional to 59,413.50 and 123,611.06

Step by Step Solution

1. Step 1: Write the proportion equation
   59,413.50 : 123,611.06 = 123,611.06 : x
2. Step 2: Convert to fraction form
   59,413.50/123,611.06 = 123,611.06/x
3. Step 3: Cross multiply
   59,413.50x = 123,611.06 × 123,611.06
4. Step 4: Simplify right side
   59,413.50x = 15,279,694,772.38
5. Step 5: Solve for x
   x = 15,279,694,772.38/59,413.50
6. Step 6: Final answer
   x = 257,175.47