Finding the Third Proportional to 262,774.50 and 400,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,774.50 : 400,723.50 = 400,723.50 : x
2. Step 2: Convert to fraction form
   262,774.50/400,723.50 = 400,723.50/x
3. Step 3: Cross multiply
   262,774.50x = 400,723.50 × 400,723.50
4. Step 4: Simplify right side
   262,774.50x = 160,579,323,452.25
5. Step 5: Solve for x
   x = 160,579,323,452.25/262,774.50
6. Step 6: Final answer
   x = 611,091.73