Finding the Third Proportional to 62,856 and 86,496

Step by Step Solution

1. Step 1: Write the proportion equation
   62,856 : 86,496 = 86,496 : x
2. Step 2: Convert to fraction form
   62,856/86,496 = 86,496/x
3. Step 3: Cross multiply
   62,856x = 86,496 × 86,496
4. Step 4: Simplify right side
   62,856x = 7,481,558,016
5. Step 5: Solve for x
   x = 7,481,558,016/62,856
6. Step 6: Final answer
   x = 119,026.95