Finding the Third Proportional to 80,188.50 and 172,224

Step by Step Solution

1. Step 1: Write the proportion equation
   80,188.50 : 172,224 = 172,224 : x
2. Step 2: Convert to fraction form
   80,188.50/172,224 = 172,224/x
3. Step 3: Cross multiply
   80,188.50x = 172,224 × 172,224
4. Step 4: Simplify right side
   80,188.50x = 29,661,106,176
5. Step 5: Solve for x
   x = 29,661,106,176/80,188.50
6. Step 6: Final answer
   x = 369,892.27