Finding the Third Proportional to 217,416 and 466,972

Step by Step Solution

1. Step 1: Write the proportion equation
   217,416 : 466,972 = 466,972 : x
2. Step 2: Convert to fraction form
   217,416/466,972 = 466,972/x
3. Step 3: Cross multiply
   217,416x = 466,972 × 466,972
4. Step 4: Simplify right side
   217,416x = 218,062,848,784
5. Step 5: Solve for x
   x = 218,062,848,784/217,416
6. Step 6: Final answer
   x = 1,002,975.17