Finding the Third Proportional to 321,582 and 472,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   321,582 : 472,738.50 = 472,738.50 : x
2. Step 2: Convert to fraction form
   321,582/472,738.50 = 472,738.50/x
3. Step 3: Cross multiply
   321,582x = 472,738.50 × 472,738.50
4. Step 4: Simplify right side
   321,582x = 223,481,689,382.25
5. Step 5: Solve for x
   x = 223,481,689,382.25/321,582
6. Step 6: Final answer
   x = 694,944.65