Finding the Third Proportional to 825,727 and 1,162,773

Step by Step Solution

1. Step 1: Write the proportion equation
   825,727 : 1,162,773 = 1,162,773 : x
2. Step 2: Convert to fraction form
   825,727/1,162,773 = 1,162,773/x
3. Step 3: Cross multiply
   825,727x = 1,162,773 × 1,162,773
4. Step 4: Simplify right side
   825,727x = 1,352,041,049,529
5. Step 5: Solve for x
   x = 1,352,041,049,529/825,727
6. Step 6: Final answer
   x = 1,637,394.74