Finding the Third Proportional to 78,644 and 171,110

Step by Step Solution

1. Step 1: Write the proportion equation
   78,644 : 171,110 = 171,110 : x
2. Step 2: Convert to fraction form
   78,644/171,110 = 171,110/x
3. Step 3: Cross multiply
   78,644x = 171,110 × 171,110
4. Step 4: Simplify right side
   78,644x = 29,278,632,100
5. Step 5: Solve for x
   x = 29,278,632,100/78,644
6. Step 6: Final answer
   x = 372,293.27