Finding the Third Proportional to 123,096 and 263,244

Step by Step Solution

1. Step 1: Write the proportion equation
   123,096 : 263,244 = 263,244 : x
2. Step 2: Convert to fraction form
   123,096/263,244 = 263,244/x
3. Step 3: Cross multiply
   123,096x = 263,244 × 263,244
4. Step 4: Simplify right side
   123,096x = 69,297,403,536
5. Step 5: Solve for x
   x = 69,297,403,536/123,096
6. Step 6: Final answer
   x = 562,954.15