Finding the Third Proportional to 80,008 and 175,082

Step by Step Solution

1. Step 1: Write the proportion equation
   80,008 : 175,082 = 175,082 : x
2. Step 2: Convert to fraction form
   80,008/175,082 = 175,082/x
3. Step 3: Cross multiply
   80,008x = 175,082 × 175,082
4. Step 4: Simplify right side
   80,008x = 30,653,706,724
5. Step 5: Solve for x
   x = 30,653,706,724/80,008
6. Step 6: Final answer
   x = 383,133.02