Finding the Third Proportional to 263,317.50 and 397,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   263,317.50 : 397,300.50 = 397,300.50 : x
2. Step 2: Convert to fraction form
   263,317.50/397,300.50 = 397,300.50/x
3. Step 3: Cross multiply
   263,317.50x = 397,300.50 × 397,300.50
4. Step 4: Simplify right side
   263,317.50x = 157,847,687,300.25
5. Step 5: Solve for x
   x = 157,847,687,300.25/263,317.50
6. Step 6: Final answer
   x = 599,457.64