Finding the Third Proportional to 214,638 and 466,152

Step by Step Solution

1. Step 1: Write the proportion equation
   214,638 : 466,152 = 466,152 : x
2. Step 2: Convert to fraction form
   214,638/466,152 = 466,152/x
3. Step 3: Cross multiply
   214,638x = 466,152 × 466,152
4. Step 4: Simplify right side
   214,638x = 217,297,687,104
5. Step 5: Solve for x
   x = 217,297,687,104/214,638
6. Step 6: Final answer
   x = 1,012,391.50