Finding the Third Proportional to 78,327 and 126,090

Step by Step Solution

1. Step 1: Write the proportion equation
   78,327 : 126,090 = 126,090 : x
2. Step 2: Convert to fraction form
   78,327/126,090 = 126,090/x
3. Step 3: Cross multiply
   78,327x = 126,090 × 126,090
4. Step 4: Simplify right side
   78,327x = 15,898,688,100
5. Step 5: Solve for x
   x = 15,898,688,100/78,327
6. Step 6: Final answer
   x = 202,978.39