Finding the Third Proportional to 217,414 and 466,968

Step by Step Solution

1. Step 1: Write the proportion equation
   217,414 : 466,968 = 466,968 : x
2. Step 2: Convert to fraction form
   217,414/466,968 = 466,968/x
3. Step 3: Cross multiply
   217,414x = 466,968 × 466,968
4. Step 4: Simplify right side
   217,414x = 218,059,113,024
5. Step 5: Solve for x
   x = 218,059,113,024/217,414
6. Step 6: Final answer
   x = 1,002,967.21