Finding the Third Proportional to 828,025.50 and 1,686,501

Step by Step Solution

1. Step 1: Write the proportion equation
   828,025.50 : 1,686,501 = 1,686,501 : x
2. Step 2: Convert to fraction form
   828,025.50/1,686,501 = 1,686,501/x
3. Step 3: Cross multiply
   828,025.50x = 1,686,501 × 1,686,501
4. Step 4: Simplify right side
   828,025.50x = 2,844,285,623,001
5. Step 5: Solve for x
   x = 2,844,285,623,001/828,025.50
6. Step 6: Final answer
   x = 3,435,021.78