Finding the Third Proportional to 326,500 and 478,564

Step by Step Solution

1. Step 1: Write the proportion equation
   326,500 : 478,564 = 478,564 : x
2. Step 2: Convert to fraction form
   326,500/478,564 = 478,564/x
3. Step 3: Cross multiply
   326,500x = 478,564 × 478,564
4. Step 4: Simplify right side
   326,500x = 229,023,502,096
5. Step 5: Solve for x
   x = 229,023,502,096/326,500
6. Step 6: Final answer
   x = 701,450.24