Finding the Third Proportional to 54,158 and 83,695

Step by Step Solution

1. Step 1: Write the proportion equation
   54,158 : 83,695 = 83,695 : x
2. Step 2: Convert to fraction form
   54,158/83,695 = 83,695/x
3. Step 3: Cross multiply
   54,158x = 83,695 × 83,695
4. Step 4: Simplify right side
   54,158x = 7,004,853,025
5. Step 5: Solve for x
   x = 7,004,853,025/54,158
6. Step 6: Final answer
   x = 129,341.06