Finding the Third Proportional to 59,727 and 86,338

Step by Step Solution

1. Step 1: Write the proportion equation
   59,727 : 86,338 = 86,338 : x
2. Step 2: Convert to fraction form
   59,727/86,338 = 86,338/x
3. Step 3: Cross multiply
   59,727x = 86,338 × 86,338
4. Step 4: Simplify right side
   59,727x = 7,454,250,244
5. Step 5: Solve for x
   x = 7,454,250,244/59,727
6. Step 6: Final answer
   x = 124,805.37