Finding the Third Proportional to 80,592 and 189,624

Step by Step Solution

1. Step 1: Write the proportion equation
   80,592 : 189,624 = 189,624 : x
2. Step 2: Convert to fraction form
   80,592/189,624 = 189,624/x
3. Step 3: Cross multiply
   80,592x = 189,624 × 189,624
4. Step 4: Simplify right side
   80,592x = 35,957,261,376
5. Step 5: Solve for x
   x = 35,957,261,376/80,592
6. Step 6: Final answer
   x = 446,164.15