Finding the Third Proportional to 214,470 and 464,244

Step by Step Solution

1. Step 1: Write the proportion equation
   214,470 : 464,244 = 464,244 : x
2. Step 2: Convert to fraction form
   214,470/464,244 = 464,244/x
3. Step 3: Cross multiply
   214,470x = 464,244 × 464,244
4. Step 4: Simplify right side
   214,470x = 215,522,491,536
5. Step 5: Solve for x
   x = 215,522,491,536/214,470
6. Step 6: Final answer
   x = 1,004,907.41