Finding the Third Proportional to 825,840 and 1,206,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   825,840 : 1,206,892.50 = 1,206,892.50 : x
2. Step 2: Convert to fraction form
   825,840/1,206,892.50 = 1,206,892.50/x
3. Step 3: Cross multiply
   825,840x = 1,206,892.50 × 1,206,892.50
4. Step 4: Simplify right side
   825,840x = 1,456,589,506,556.25
5. Step 5: Solve for x
   x = 1,456,589,506,556.25/825,840
6. Step 6: Final answer
   x = 1,763,767.20