Finding the Third Proportional to 500,822 and 1,181,066

Step by Step Solution

1. Step 1: Write the proportion equation
   500,822 : 1,181,066 = 1,181,066 : x
2. Step 2: Convert to fraction form
   500,822/1,181,066 = 1,181,066/x
3. Step 3: Cross multiply
   500,822x = 1,181,066 × 1,181,066
4. Step 4: Simplify right side
   500,822x = 1,394,916,896,356
5. Step 5: Solve for x
   x = 1,394,916,896,356/500,822
6. Step 6: Final answer
   x = 2,785,254.83