Finding the Third Proportional to 321,286.50 and 478,422

Step by Step Solution

1. Step 1: Write the proportion equation
   321,286.50 : 478,422 = 478,422 : x
2. Step 2: Convert to fraction form
   321,286.50/478,422 = 478,422/x
3. Step 3: Cross multiply
   321,286.50x = 478,422 × 478,422
4. Step 4: Simplify right side
   321,286.50x = 228,887,610,084
5. Step 5: Solve for x
   x = 228,887,610,084/321,286.50
6. Step 6: Final answer
   x = 712,409.67