Finding the Third Proportional to 172,470 and 266,413.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,470 : 266,413.50 = 266,413.50 : x
2. Step 2: Convert to fraction form
   172,470/266,413.50 = 266,413.50/x
3. Step 3: Cross multiply
   172,470x = 266,413.50 × 266,413.50
4. Step 4: Simplify right side
   172,470x = 70,976,152,982.25
5. Step 5: Solve for x
   x = 70,976,152,982.25/172,470
6. Step 6: Final answer
   x = 411,527.53