Finding the Third Proportional to 208,494 and 424,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   208,494 : 424,363.50 = 424,363.50 : x
2. Step 2: Convert to fraction form
   208,494/424,363.50 = 424,363.50/x
3. Step 3: Cross multiply
   208,494x = 424,363.50 × 424,363.50
4. Step 4: Simplify right side
   208,494x = 180,084,380,132.25
5. Step 5: Solve for x
   x = 180,084,380,132.25/208,494
6. Step 6: Final answer
   x = 863,738.91