Finding the Third Proportional to 821,226 and 1,098,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   821,226 : 1,098,499.50 = 1,098,499.50 : x
2. Step 2: Convert to fraction form
   821,226/1,098,499.50 = 1,098,499.50/x
3. Step 3: Cross multiply
   821,226x = 1,098,499.50 × 1,098,499.50
4. Step 4: Simplify right side
   821,226x = 1,206,701,151,500.25
5. Step 5: Solve for x
   x = 1,206,701,151,500.25/821,226
6. Step 6: Final answer
   x = 1,469,389.85