Finding the Third Proportional to 321,590 and 472,750.50

Step by Step Solution

1. Step 1: Write the proportion equation
   321,590 : 472,750.50 = 472,750.50 : x
2. Step 2: Convert to fraction form
   321,590/472,750.50 = 472,750.50/x
3. Step 3: Cross multiply
   321,590x = 472,750.50 × 472,750.50
4. Step 4: Simplify right side
   321,590x = 223,493,035,250.25
5. Step 5: Solve for x
   x = 223,493,035,250.25/321,590
6. Step 6: Final answer
   x = 694,962.64