Finding the Third Proportional to 50,178 and 108,192

Step by Step Solution

1. Step 1: Write the proportion equation
   50,178 : 108,192 = 108,192 : x
2. Step 2: Convert to fraction form
   50,178/108,192 = 108,192/x
3. Step 3: Cross multiply
   50,178x = 108,192 × 108,192
4. Step 4: Simplify right side
   50,178x = 11,705,508,864
5. Step 5: Solve for x
   x = 11,705,508,864/50,178
6. Step 6: Final answer
   x = 233,279.70