Finding the Third Proportional to 55,082 and 83,139

Step by Step Solution

1. Step 1: Write the proportion equation
   55,082 : 83,139 = 83,139 : x
2. Step 2: Convert to fraction form
   55,082/83,139 = 83,139/x
3. Step 3: Cross multiply
   55,082x = 83,139 × 83,139
4. Step 4: Simplify right side
   55,082x = 6,912,093,321
5. Step 5: Solve for x
   x = 6,912,093,321/55,082
6. Step 6: Final answer
   x = 125,487.33