Finding the Third Proportional to 400,009.50 and 584,217

Step by Step Solution

1. Step 1: Write the proportion equation
   400,009.50 : 584,217 = 584,217 : x
2. Step 2: Convert to fraction form
   400,009.50/584,217 = 584,217/x
3. Step 3: Cross multiply
   400,009.50x = 584,217 × 584,217
4. Step 4: Simplify right side
   400,009.50x = 341,309,503,089
5. Step 5: Solve for x
   x = 341,309,503,089/400,009.50
6. Step 6: Final answer
   x = 853,253.49