Finding the Third Proportional to 311,944.50 and 472,320

Step by Step Solution

1. Step 1: Write the proportion equation
   311,944.50 : 472,320 = 472,320 : x
2. Step 2: Convert to fraction form
   311,944.50/472,320 = 472,320/x
3. Step 3: Cross multiply
   311,944.50x = 472,320 × 472,320
4. Step 4: Simplify right side
   311,944.50x = 223,086,182,400
5. Step 5: Solve for x
   x = 223,086,182,400/311,944.50
6. Step 6: Final answer
   x = 715,147.03