Finding the Third Proportional to 517,467 and 822,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   517,467 : 822,856.50 = 822,856.50 : x
2. Step 2: Convert to fraction form
   517,467/822,856.50 = 822,856.50/x
3. Step 3: Cross multiply
   517,467x = 822,856.50 × 822,856.50
4. Step 4: Simplify right side
   517,467x = 677,092,819,592.25
5. Step 5: Solve for x
   x = 677,092,819,592.25/517,467
6. Step 6: Final answer
   x = 1,308,475.36