Finding the Third Proportional to 409,746 and 642,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   409,746 : 642,772.50 = 642,772.50 : x
2. Step 2: Convert to fraction form
   409,746/642,772.50 = 642,772.50/x
3. Step 3: Cross multiply
   409,746x = 642,772.50 × 642,772.50
4. Step 4: Simplify right side
   409,746x = 413,156,486,756.25
5. Step 5: Solve for x
   x = 413,156,486,756.25/409,746
6. Step 6: Final answer
   x = 1,008,323.42