Finding the Third Proportional to 263,523 and 397,600.50

Step by Step Solution

1. Step 1: Write the proportion equation
   263,523 : 397,600.50 = 397,600.50 : x
2. Step 2: Convert to fraction form
   263,523/397,600.50 = 397,600.50/x
3. Step 3: Cross multiply
   263,523x = 397,600.50 × 397,600.50
4. Step 4: Simplify right side
   263,523x = 158,086,157,600.25
5. Step 5: Solve for x
   x = 158,086,157,600.25/263,523
6. Step 6: Final answer
   x = 599,895.10