Finding the Third Proportional to 217,874 and 333,082

Step by Step Solution

1. Step 1: Write the proportion equation
   217,874 : 333,082 = 333,082 : x
2. Step 2: Convert to fraction form
   217,874/333,082 = 333,082/x
3. Step 3: Cross multiply
   217,874x = 333,082 × 333,082
4. Step 4: Simplify right side
   217,874x = 110,943,618,724
5. Step 5: Solve for x
   x = 110,943,618,724/217,874
6. Step 6: Final answer
   x = 509,210.00