Finding the Third Proportional to 217,120 and 471,376

Step by Step Solution

1. Step 1: Write the proportion equation
   217,120 : 471,376 = 471,376 : x
2. Step 2: Convert to fraction form
   217,120/471,376 = 471,376/x
3. Step 3: Cross multiply
   217,120x = 471,376 × 471,376
4. Step 4: Simplify right side
   217,120x = 222,195,333,376
5. Step 5: Solve for x
   x = 222,195,333,376/217,120
6. Step 6: Final answer
   x = 1,023,375.71