Finding the Third Proportional to 59,338 and 91,847

Step by Step Solution

1. Step 1: Write the proportion equation
   59,338 : 91,847 = 91,847 : x
2. Step 2: Convert to fraction form
   59,338/91,847 = 91,847/x
3. Step 3: Cross multiply
   59,338x = 91,847 × 91,847
4. Step 4: Simplify right side
   59,338x = 8,435,871,409
5. Step 5: Solve for x
   x = 8,435,871,409/59,338
6. Step 6: Final answer
   x = 142,166.43