Finding the Third Proportional to 80,585 and 113,281

Step by Step Solution

1. Step 1: Write the proportion equation
   80,585 : 113,281 = 113,281 : x
2. Step 2: Convert to fraction form
   80,585/113,281 = 113,281/x
3. Step 3: Cross multiply
   80,585x = 113,281 × 113,281
4. Step 4: Simplify right side
   80,585x = 12,832,584,961
5. Step 5: Solve for x
   x = 12,832,584,961/80,585
6. Step 6: Final answer
   x = 159,242.85