Finding the Third Proportional to 214,456 and 464,220

Step by Step Solution

1. Step 1: Write the proportion equation
   214,456 : 464,220 = 464,220 : x
2. Step 2: Convert to fraction form
   214,456/464,220 = 464,220/x
3. Step 3: Cross multiply
   214,456x = 464,220 × 464,220
4. Step 4: Simplify right side
   214,456x = 215,500,208,400
5. Step 5: Solve for x
   x = 215,500,208,400/214,456
6. Step 6: Final answer
   x = 1,004,869.10