Finding the Third Proportional to 83,413.55 and 102,276.42

Step by Step Solution

1. Step 1: Write the proportion equation
   83,413.55 : 102,276.42 = 102,276.42 : x
2. Step 2: Convert to fraction form
   83,413.55/102,276.42 = 102,276.42/x
3. Step 3: Cross multiply
   83,413.55x = 102,276.42 × 102,276.42
4. Step 4: Simplify right side
   83,413.55x = 10,460,466,471.55
5. Step 5: Solve for x
   x = 10,460,466,471.55/83,413.55
6. Step 6: Final answer
   x = 125,404.89