Finding the Third Proportional to 59,096 and 89,348

Step by Step Solution

1. Step 1: Write the proportion equation
   59,096 : 89,348 = 89,348 : x
2. Step 2: Convert to fraction form
   59,096/89,348 = 89,348/x
3. Step 3: Cross multiply
   59,096x = 89,348 × 89,348
4. Step 4: Simplify right side
   59,096x = 7,983,065,104
5. Step 5: Solve for x
   x = 7,983,065,104/59,096
6. Step 6: Final answer
   x = 135,086.39