Finding the Third Proportional to 111,744 and 238,464

Step by Step Solution

1. Step 1: Write the proportion equation
   111,744 : 238,464 = 238,464 : x
2. Step 2: Convert to fraction form
   111,744/238,464 = 238,464/x
3. Step 3: Cross multiply
   111,744x = 238,464 × 238,464
4. Step 4: Simplify right side
   111,744x = 56,865,079,296
5. Step 5: Solve for x
   x = 56,865,079,296/111,744
6. Step 6: Final answer
   x = 508,887.09