Finding the Third Proportional to 80,517 and 172,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,517 : 172,738.50 = 172,738.50 : x
2. Step 2: Convert to fraction form
   80,517/172,738.50 = 172,738.50/x
3. Step 3: Cross multiply
   80,517x = 172,738.50 × 172,738.50
4. Step 4: Simplify right side
   80,517x = 29,838,589,382.25
5. Step 5: Solve for x
   x = 29,838,589,382.25/80,517
6. Step 6: Final answer
   x = 370,587.45