Finding the Third Proportional to 401,444 and 587,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,444 : 587,094.50 = 587,094.50 : x
2. Step 2: Convert to fraction form
   401,444/587,094.50 = 587,094.50/x
3. Step 3: Cross multiply
   401,444x = 587,094.50 × 587,094.50
4. Step 4: Simplify right side
   401,444x = 344,679,951,930.25
5. Step 5: Solve for x
   x = 344,679,951,930.25/401,444
6. Step 6: Final answer
   x = 858,600.33