Finding the Third Proportional to 80,224 and 176,000

Step by Step Solution

1. Step 1: Write the proportion equation
   80,224 : 176,000 = 176,000 : x
2. Step 2: Convert to fraction form
   80,224/176,000 = 176,000/x
3. Step 3: Cross multiply
   80,224x = 176,000 × 176,000
4. Step 4: Simplify right side
   80,224x = 30,976,000,000
5. Step 5: Solve for x
   x = 30,976,000,000/80,224
6. Step 6: Final answer
   x = 386,118.87