Finding the Third Proportional to 80,594 and 113,294

Step by Step Solution

1. Step 1: Write the proportion equation
   80,594 : 113,294 = 113,294 : x
2. Step 2: Convert to fraction form
   80,594/113,294 = 113,294/x
3. Step 3: Cross multiply
   80,594x = 113,294 × 113,294
4. Step 4: Simplify right side
   80,594x = 12,835,530,436
5. Step 5: Solve for x
   x = 12,835,530,436/80,594
6. Step 6: Final answer
   x = 159,261.61