Finding the Third Proportional to 234,144 and 552,096

Step by Step Solution

1. Step 1: Write the proportion equation
   234,144 : 552,096 = 552,096 : x
2. Step 2: Convert to fraction form
   234,144/552,096 = 552,096/x
3. Step 3: Cross multiply
   234,144x = 552,096 × 552,096
4. Step 4: Simplify right side
   234,144x = 304,809,993,216
5. Step 5: Solve for x
   x = 304,809,993,216/234,144
6. Step 6: Final answer
   x = 1,301,805.70