Finding the Third Proportional to 83,217 and 182,002.88

Step by Step Solution

1. Step 1: Write the proportion equation
   83,217 : 182,002.88 = 182,002.88 : x
2. Step 2: Convert to fraction form
   83,217/182,002.88 = 182,002.88/x
3. Step 3: Cross multiply
   83,217x = 182,002.88 × 182,002.88
4. Step 4: Simplify right side
   83,217x = 33,125,046,508.27
5. Step 5: Solve for x
   x = 33,125,046,508.27/83,217
6. Step 6: Final answer
   x = 398,056.24