Finding the Third Proportional to 59,743 and 86,361

Step by Step Solution

1. Step 1: Write the proportion equation
   59,743 : 86,361 = 86,361 : x
2. Step 2: Convert to fraction form
   59,743/86,361 = 86,361/x
3. Step 3: Cross multiply
   59,743x = 86,361 × 86,361
4. Step 4: Simplify right side
   59,743x = 7,458,222,321
5. Step 5: Solve for x
   x = 7,458,222,321/59,743
6. Step 6: Final answer
   x = 124,838.43