Finding the Third Proportional to 127,539 and 187,413.75

Step by Step Solution

1. Step 1: Write the proportion equation
   127,539 : 187,413.75 = 187,413.75 : x
2. Step 2: Convert to fraction form
   127,539/187,413.75 = 187,413.75/x
3. Step 3: Cross multiply
   127,539x = 187,413.75 × 187,413.75
4. Step 4: Simplify right side
   127,539x = 35,123,913,689.06
5. Step 5: Solve for x
   x = 35,123,913,689.06/127,539
6. Step 6: Final answer
   x = 275,397.44