Finding the Third Proportional to 78,627 and 171,078

Step by Step Solution

1. Step 1: Write the proportion equation
   78,627 : 171,078 = 171,078 : x
2. Step 2: Convert to fraction form
   78,627/171,078 = 171,078/x
3. Step 3: Cross multiply
   78,627x = 171,078 × 171,078
4. Step 4: Simplify right side
   78,627x = 29,267,682,084
5. Step 5: Solve for x
   x = 29,267,682,084/78,627
6. Step 6: Final answer
   x = 372,234.50