Finding the Third Proportional to 411,543 and 587,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   411,543 : 587,377.50 = 587,377.50 : x
2. Step 2: Convert to fraction form
   411,543/587,377.50 = 587,377.50/x
3. Step 3: Cross multiply
   411,543x = 587,377.50 × 587,377.50
4. Step 4: Simplify right side
   411,543x = 345,012,327,506.25
5. Step 5: Solve for x
   x = 345,012,327,506.25/411,543
6. Step 6: Final answer
   x = 838,338.47