Finding the Third Proportional to 214,624 and 466,150

Step by Step Solution

1. Step 1: Write the proportion equation
   214,624 : 466,150 = 466,150 : x
2. Step 2: Convert to fraction form
   214,624/466,150 = 466,150/x
3. Step 3: Cross multiply
   214,624x = 466,150 × 466,150
4. Step 4: Simplify right side
   214,624x = 217,295,822,500
5. Step 5: Solve for x
   x = 217,295,822,500/214,624
6. Step 6: Final answer
   x = 1,012,448.85