Finding the Third Proportional to 59,214 and 89,454

Step by Step Solution

1. Step 1: Write the proportion equation
   59,214 : 89,454 = 89,454 : x
2. Step 2: Convert to fraction form
   59,214/89,454 = 89,454/x
3. Step 3: Cross multiply
   59,214x = 89,454 × 89,454
4. Step 4: Simplify right side
   59,214x = 8,002,018,116
5. Step 5: Solve for x
   x = 8,002,018,116/59,214
6. Step 6: Final answer
   x = 135,137.27