Finding the Third Proportional to 222,576 and 345,096

Step by Step Solution

1. Step 1: Write the proportion equation
   222,576 : 345,096 = 345,096 : x
2. Step 2: Convert to fraction form
   222,576/345,096 = 345,096/x
3. Step 3: Cross multiply
   222,576x = 345,096 × 345,096
4. Step 4: Simplify right side
   222,576x = 119,091,249,216
5. Step 5: Solve for x
   x = 119,091,249,216/222,576
6. Step 6: Final answer
   x = 535,058.81