Finding the Third Proportional to 825,096 and 1,312,822

Step by Step Solution

1. Step 1: Write the proportion equation
   825,096 : 1,312,822 = 1,312,822 : x
2. Step 2: Convert to fraction form
   825,096/1,312,822 = 1,312,822/x
3. Step 3: Cross multiply
   825,096x = 1,312,822 × 1,312,822
4. Step 4: Simplify right side
   825,096x = 1,723,501,603,684
5. Step 5: Solve for x
   x = 1,723,501,603,684/825,096
6. Step 6: Final answer
   x = 2,088,849.79