Finding the Third Proportional to 54,164 and 83,705

Step by Step Solution

1. Step 1: Write the proportion equation
   54,164 : 83,705 = 83,705 : x
2. Step 2: Convert to fraction form
   54,164/83,705 = 83,705/x
3. Step 3: Cross multiply
   54,164x = 83,705 × 83,705
4. Step 4: Simplify right side
   54,164x = 7,006,527,025
5. Step 5: Solve for x
   x = 7,006,527,025/54,164
6. Step 6: Final answer
   x = 129,357.64