Finding the Third Proportional to 123,120 and 263,088

Step by Step Solution

1. Step 1: Write the proportion equation
   123,120 : 263,088 = 263,088 : x
2. Step 2: Convert to fraction form
   123,120/263,088 = 263,088/x
3. Step 3: Cross multiply
   123,120x = 263,088 × 263,088
4. Step 4: Simplify right side
   123,120x = 69,215,295,744
5. Step 5: Solve for x
   x = 69,215,295,744/123,120
6. Step 6: Final answer
   x = 562,177.52