Finding the Third Proportional to 109,380 and 236,256

Step by Step Solution

1. Step 1: Write the proportion equation
   109,380 : 236,256 = 236,256 : x
2. Step 2: Convert to fraction form
   109,380/236,256 = 236,256/x
3. Step 3: Cross multiply
   109,380x = 236,256 × 236,256
4. Step 4: Simplify right side
   109,380x = 55,816,897,536
5. Step 5: Solve for x
   x = 55,816,897,536/109,380
6. Step 6: Final answer
   x = 510,302.59