Finding the Third Proportional to 123,288 and 263,440

Step by Step Solution

1. Step 1: Write the proportion equation
   123,288 : 263,440 = 263,440 : x
2. Step 2: Convert to fraction form
   123,288/263,440 = 263,440/x
3. Step 3: Cross multiply
   123,288x = 263,440 × 263,440
4. Step 4: Simplify right side
   123,288x = 69,400,633,600
5. Step 5: Solve for x
   x = 69,400,633,600/123,288
6. Step 6: Final answer
   x = 562,914.75