Finding the Third Proportional to 214,648.50 and 466,200

Step by Step Solution

1. Step 1: Write the proportion equation
   214,648.50 : 466,200 = 466,200 : x
2. Step 2: Convert to fraction form
   214,648.50/466,200 = 466,200/x
3. Step 3: Cross multiply
   214,648.50x = 466,200 × 466,200
4. Step 4: Simplify right side
   214,648.50x = 217,342,440,000
5. Step 5: Solve for x
   x = 217,342,440,000/214,648.50
6. Step 6: Final answer
   x = 1,012,550.47