Finding the Third Proportional to 565,626 and 791,198.25

Step by Step Solution

1. Step 1: Write the proportion equation
   565,626 : 791,198.25 = 791,198.25 : x
2. Step 2: Convert to fraction form
   565,626/791,198.25 = 791,198.25/x
3. Step 3: Cross multiply
   565,626x = 791,198.25 × 791,198.25
4. Step 4: Simplify right side
   565,626x = 625,994,670,803.06
5. Step 5: Solve for x
   x = 625,994,670,803.06/565,626
6. Step 6: Final answer
   x = 1,106,728.95