Finding the Third Proportional to 80,152 and 171,422

Step by Step Solution

1. Step 1: Write the proportion equation
   80,152 : 171,422 = 171,422 : x
2. Step 2: Convert to fraction form
   80,152/171,422 = 171,422/x
3. Step 3: Cross multiply
   80,152x = 171,422 × 171,422
4. Step 4: Simplify right side
   80,152x = 29,385,502,084
5. Step 5: Solve for x
   x = 29,385,502,084/80,152
6. Step 6: Final answer
   x = 366,622.19