Finding the Third Proportional to 50,492 and 106,308

Step by Step Solution

1. Step 1: Write the proportion equation
   50,492 : 106,308 = 106,308 : x
2. Step 2: Convert to fraction form
   50,492/106,308 = 106,308/x
3. Step 3: Cross multiply
   50,492x = 106,308 × 106,308
4. Step 4: Simplify right side
   50,492x = 11,301,390,864
5. Step 5: Solve for x
   x = 11,301,390,864/50,492
6. Step 6: Final answer
   x = 223,825.38