Finding the Third Proportional to 222,785 and 296,968

Step by Step Solution

1. Step 1: Write the proportion equation
   222,785 : 296,968 = 296,968 : x
2. Step 2: Convert to fraction form
   222,785/296,968 = 296,968/x
3. Step 3: Cross multiply
   222,785x = 296,968 × 296,968
4. Step 4: Simplify right side
   222,785x = 88,189,993,024
5. Step 5: Solve for x
   x = 88,189,993,024/222,785
6. Step 6: Final answer
   x = 395,852.47