Finding the Third Proportional to 214,626 and 466,288

Step by Step Solution

1. Step 1: Write the proportion equation
   214,626 : 466,288 = 466,288 : x
2. Step 2: Convert to fraction form
   214,626/466,288 = 466,288/x
3. Step 3: Cross multiply
   214,626x = 466,288 × 466,288
4. Step 4: Simplify right side
   214,626x = 217,424,498,944
5. Step 5: Solve for x
   x = 217,424,498,944/214,626
6. Step 6: Final answer
   x = 1,013,038.96