Finding the Third Proportional to 80,516 and 189,452

Step by Step Solution

1. Step 1: Write the proportion equation
   80,516 : 189,452 = 189,452 : x
2. Step 2: Convert to fraction form
   80,516/189,452 = 189,452/x
3. Step 3: Cross multiply
   80,516x = 189,452 × 189,452
4. Step 4: Simplify right side
   80,516x = 35,892,060,304
5. Step 5: Solve for x
   x = 35,892,060,304/80,516
6. Step 6: Final answer
   x = 445,775.50