Finding the Third Proportional to 409,644 and 838,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   409,644 : 838,966.50 = 838,966.50 : x
2. Step 2: Convert to fraction form
   409,644/838,966.50 = 838,966.50/x
3. Step 3: Cross multiply
   409,644x = 838,966.50 × 838,966.50
4. Step 4: Simplify right side
   409,644x = 703,864,788,122.25
5. Step 5: Solve for x
   x = 703,864,788,122.25/409,644
6. Step 6: Final answer
   x = 1,718,235.32