Finding the Third Proportional to 54,166 and 83,708

Step by Step Solution

1. Step 1: Write the proportion equation
   54,166 : 83,708 = 83,708 : x
2. Step 2: Convert to fraction form
   54,166/83,708 = 83,708/x
3. Step 3: Cross multiply
   54,166x = 83,708 × 83,708
4. Step 4: Simplify right side
   54,166x = 7,007,029,264
5. Step 5: Solve for x
   x = 7,007,029,264/54,166
6. Step 6: Final answer
   x = 129,362.13