Finding the Third Proportional to 78,285 and 126,042

Step by Step Solution

1. Step 1: Write the proportion equation
   78,285 : 126,042 = 126,042 : x
2. Step 2: Convert to fraction form
   78,285/126,042 = 126,042/x
3. Step 3: Cross multiply
   78,285x = 126,042 × 126,042
4. Step 4: Simplify right side
   78,285x = 15,886,585,764
5. Step 5: Solve for x
   x = 15,886,585,764/78,285
6. Step 6: Final answer
   x = 202,932.69