Finding the Third Proportional to 50,431 and 108,642

Step by Step Solution

1. Step 1: Write the proportion equation
   50,431 : 108,642 = 108,642 : x
2. Step 2: Convert to fraction form
   50,431/108,642 = 108,642/x
3. Step 3: Cross multiply
   50,431x = 108,642 × 108,642
4. Step 4: Simplify right side
   50,431x = 11,803,084,164
5. Step 5: Solve for x
   x = 11,803,084,164/50,431
6. Step 6: Final answer
   x = 234,044.22