Finding the Third Proportional to 825,822 and 1,206,871.50

Step by Step Solution

1. Step 1: Write the proportion equation
   825,822 : 1,206,871.50 = 1,206,871.50 : x
2. Step 2: Convert to fraction form
   825,822/1,206,871.50 = 1,206,871.50/x
3. Step 3: Cross multiply
   825,822x = 1,206,871.50 × 1,206,871.50
4. Step 4: Simplify right side
   825,822x = 1,456,538,817,512.25
5. Step 5: Solve for x
   x = 1,456,538,817,512.25/825,822
6. Step 6: Final answer
   x = 1,763,744.27