Finding the Third Proportional to 52,003 and 111,398

Step by Step Solution

1. Step 1: Write the proportion equation
   52,003 : 111,398 = 111,398 : x
2. Step 2: Convert to fraction form
   52,003/111,398 = 111,398/x
3. Step 3: Cross multiply
   52,003x = 111,398 × 111,398
4. Step 4: Simplify right side
   52,003x = 12,409,514,404
5. Step 5: Solve for x
   x = 12,409,514,404/52,003
6. Step 6: Final answer
   x = 238,630.74