Finding the Third Proportional to 59,200 and 89,414

Step by Step Solution

1. Step 1: Write the proportion equation
   59,200 : 89,414 = 89,414 : x
2. Step 2: Convert to fraction form
   59,200/89,414 = 89,414/x
3. Step 3: Cross multiply
   59,200x = 89,414 × 89,414
4. Step 4: Simplify right side
   59,200x = 7,994,863,396
5. Step 5: Solve for x
   x = 7,994,863,396/59,200
6. Step 6: Final answer
   x = 135,048.37