Finding the Third Proportional to 262,363.50 and 414,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,363.50 : 414,787.50 = 414,787.50 : x
2. Step 2: Convert to fraction form
   262,363.50/414,787.50 = 414,787.50/x
3. Step 3: Cross multiply
   262,363.50x = 414,787.50 × 414,787.50
4. Step 4: Simplify right side
   262,363.50x = 172,048,670,156.25
5. Step 5: Solve for x
   x = 172,048,670,156.25/262,363.50
6. Step 6: Final answer
   x = 655,764.50