Finding the Third Proportional to 80,649 and 112,806

Step by Step Solution

1. Step 1: Write the proportion equation
   80,649 : 112,806 = 112,806 : x
2. Step 2: Convert to fraction form
   80,649/112,806 = 112,806/x
3. Step 3: Cross multiply
   80,649x = 112,806 × 112,806
4. Step 4: Simplify right side
   80,649x = 12,725,193,636
5. Step 5: Solve for x
   x = 12,725,193,636/80,649
6. Step 6: Final answer
   x = 157,784.89