Finding the Third Proportional to 215,138 and 466,564

Step by Step Solution

1. Step 1: Write the proportion equation
   215,138 : 466,564 = 466,564 : x
2. Step 2: Convert to fraction form
   215,138/466,564 = 466,564/x
3. Step 3: Cross multiply
   215,138x = 466,564 × 466,564
4. Step 4: Simplify right side
   215,138x = 217,681,966,096
5. Step 5: Solve for x
   x = 217,681,966,096/215,138
6. Step 6: Final answer
   x = 1,011,824.81