Finding the Third Proportional to 253,288.50 and 401,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   253,288.50 : 401,074.50 = 401,074.50 : x
2. Step 2: Convert to fraction form
   253,288.50/401,074.50 = 401,074.50/x
3. Step 3: Cross multiply
   253,288.50x = 401,074.50 × 401,074.50
4. Step 4: Simplify right side
   253,288.50x = 160,860,754,550.25
5. Step 5: Solve for x
   x = 160,860,754,550.25/253,288.50
6. Step 6: Final answer
   x = 635,089.06