Finding the Third Proportional to 52,256 and 123,336

Step by Step Solution

1. Step 1: Write the proportion equation
   52,256 : 123,336 = 123,336 : x
2. Step 2: Convert to fraction form
   52,256/123,336 = 123,336/x
3. Step 3: Cross multiply
   52,256x = 123,336 × 123,336
4. Step 4: Simplify right side
   52,256x = 15,211,768,896
5. Step 5: Solve for x
   x = 15,211,768,896/52,256
6. Step 6: Final answer
   x = 291,100.91