Finding the Third Proportional to 57,139 and 85,654

Step by Step Solution

1. Step 1: Write the proportion equation
   57,139 : 85,654 = 85,654 : x
2. Step 2: Convert to fraction form
   57,139/85,654 = 85,654/x
3. Step 3: Cross multiply
   57,139x = 85,654 × 85,654
4. Step 4: Simplify right side
   57,139x = 7,336,607,716
5. Step 5: Solve for x
   x = 7,336,607,716/57,139
6. Step 6: Final answer
   x = 128,399.30