Finding the Third Proportional to 78,337 and 126,105

Step by Step Solution

1. Step 1: Write the proportion equation
   78,337 : 126,105 = 126,105 : x
2. Step 2: Convert to fraction form
   78,337/126,105 = 126,105/x
3. Step 3: Cross multiply
   78,337x = 126,105 × 126,105
4. Step 4: Simplify right side
   78,337x = 15,902,471,025
5. Step 5: Solve for x
   x = 15,902,471,025/78,337
6. Step 6: Final answer
   x = 203,000.77