Finding the Third Proportional to 763,821 and 828,337.50

Step by Step Solution

1. Step 1: Write the proportion equation
   763,821 : 828,337.50 = 828,337.50 : x
2. Step 2: Convert to fraction form
   763,821/828,337.50 = 828,337.50/x
3. Step 3: Cross multiply
   763,821x = 828,337.50 × 828,337.50
4. Step 4: Simplify right side
   763,821x = 686,143,013,906.25
5. Step 5: Solve for x
   x = 686,143,013,906.25/763,821
6. Step 6: Final answer
   x = 898,303.42