Finding the Third Proportional to 321,151.50 and 493,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   321,151.50 : 493,825.50 = 493,825.50 : x
2. Step 2: Convert to fraction form
   321,151.50/493,825.50 = 493,825.50/x
3. Step 3: Cross multiply
   321,151.50x = 493,825.50 × 493,825.50
4. Step 4: Simplify right side
   321,151.50x = 243,863,624,450.25
5. Step 5: Solve for x
   x = 243,863,624,450.25/321,151.50
6. Step 6: Final answer
   x = 759,341.38