Finding the Third Proportional to 101,565 and 222,822

Step by Step Solution

1. Step 1: Write the proportion equation
   101,565 : 222,822 = 222,822 : x
2. Step 2: Convert to fraction form
   101,565/222,822 = 222,822/x
3. Step 3: Cross multiply
   101,565x = 222,822 × 222,822
4. Step 4: Simplify right side
   101,565x = 49,649,643,684
5. Step 5: Solve for x
   x = 49,649,643,684/101,565
6. Step 6: Final answer
   x = 488,846.00