Finding the Third Proportional to 83,472 and 182,280

Step by Step Solution

1. Step 1: Write the proportion equation
   83,472 : 182,280 = 182,280 : x
2. Step 2: Convert to fraction form
   83,472/182,280 = 182,280/x
3. Step 3: Cross multiply
   83,472x = 182,280 × 182,280
4. Step 4: Simplify right side
   83,472x = 33,225,998,400
5. Step 5: Solve for x
   x = 33,225,998,400/83,472
6. Step 6: Final answer
   x = 398,049.63