Finding the Third Proportional to 79,766 and 116,186

Step by Step Solution

1. Step 1: Write the proportion equation
   79,766 : 116,186 = 116,186 : x
2. Step 2: Convert to fraction form
   79,766/116,186 = 116,186/x
3. Step 3: Cross multiply
   79,766x = 116,186 × 116,186
4. Step 4: Simplify right side
   79,766x = 13,499,186,596
5. Step 5: Solve for x
   x = 13,499,186,596/79,766
6. Step 6: Final answer
   x = 169,234.84