Finding the Third Proportional to 123,359 and 256,413.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,359 : 256,413.75 = 256,413.75 : x
2. Step 2: Convert to fraction form
   123,359/256,413.75 = 256,413.75/x
3. Step 3: Cross multiply
   123,359x = 256,413.75 × 256,413.75
4. Step 4: Simplify right side
   123,359x = 65,748,011,189.06
5. Step 5: Solve for x
   x = 65,748,011,189.06/123,359
6. Step 6: Final answer
   x = 532,981.06