Finding the Third Proportional to 181,822 and 279,078

Step by Step Solution

1. Step 1: Write the proportion equation
   181,822 : 279,078 = 279,078 : x
2. Step 2: Convert to fraction form
   181,822/279,078 = 279,078/x
3. Step 3: Cross multiply
   181,822x = 279,078 × 279,078
4. Step 4: Simplify right side
   181,822x = 77,884,530,084
5. Step 5: Solve for x
   x = 77,884,530,084/181,822
6. Step 6: Final answer
   x = 428,355.92