Finding the Third Proportional to 217,540 and 334,470

Step by Step Solution

1. Step 1: Write the proportion equation
   217,540 : 334,470 = 334,470 : x
2. Step 2: Convert to fraction form
   217,540/334,470 = 334,470/x
3. Step 3: Cross multiply
   217,540x = 334,470 × 334,470
4. Step 4: Simplify right side
   217,540x = 111,870,180,900
5. Step 5: Solve for x
   x = 111,870,180,900/217,540
6. Step 6: Final answer
   x = 514,251.08