Finding the Third Proportional to 79,685 and 111,677

Step by Step Solution

1. Step 1: Write the proportion equation
   79,685 : 111,677 = 111,677 : x
2. Step 2: Convert to fraction form
   79,685/111,677 = 111,677/x
3. Step 3: Cross multiply
   79,685x = 111,677 × 111,677
4. Step 4: Simplify right side
   79,685x = 12,471,752,329
5. Step 5: Solve for x
   x = 12,471,752,329/79,685
6. Step 6: Final answer
   x = 156,513.17