Finding the Third Proportional to 400,005 and 584,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   400,005 : 584,212.50 = 584,212.50 : x
2. Step 2: Convert to fraction form
   400,005/584,212.50 = 584,212.50/x
3. Step 3: Cross multiply
   400,005x = 584,212.50 × 584,212.50
4. Step 4: Simplify right side
   400,005x = 341,304,245,156.25
5. Step 5: Solve for x
   x = 341,304,245,156.25/400,005
6. Step 6: Final answer
   x = 853,249.95