Finding the Third Proportional to 108,566 and 222,396

Step by Step Solution

1. Step 1: Write the proportion equation
   108,566 : 222,396 = 222,396 : x
2. Step 2: Convert to fraction form
   108,566/222,396 = 222,396/x
3. Step 3: Cross multiply
   108,566x = 222,396 × 222,396
4. Step 4: Simplify right side
   108,566x = 49,459,980,816
5. Step 5: Solve for x
   x = 49,459,980,816/108,566
6. Step 6: Final answer
   x = 455,575.23