Finding the Third Proportional to 401,062.50 and 599,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,062.50 : 599,566.50 = 599,566.50 : x
2. Step 2: Convert to fraction form
   401,062.50/599,566.50 = 599,566.50/x
3. Step 3: Cross multiply
   401,062.50x = 599,566.50 × 599,566.50
4. Step 4: Simplify right side
   401,062.50x = 359,479,987,922.25
5. Step 5: Solve for x
   x = 359,479,987,922.25/401,062.50
6. Step 6: Final answer
   x = 896,319.12