Finding the Third Proportional to 80,640 and 173,312

Step by Step Solution

1. Step 1: Write the proportion equation
   80,640 : 173,312 = 173,312 : x
2. Step 2: Convert to fraction form
   80,640/173,312 = 173,312/x
3. Step 3: Cross multiply
   80,640x = 173,312 × 173,312
4. Step 4: Simplify right side
   80,640x = 30,037,049,344
5. Step 5: Solve for x
   x = 30,037,049,344/80,640
6. Step 6: Final answer
   x = 372,483.25