Finding the Third Proportional to 50,204 and 109,153

Step by Step Solution

1. Step 1: Write the proportion equation
   50,204 : 109,153 = 109,153 : x
2. Step 2: Convert to fraction form
   50,204/109,153 = 109,153/x
3. Step 3: Cross multiply
   50,204x = 109,153 × 109,153
4. Step 4: Simplify right side
   50,204x = 11,914,377,409
5. Step 5: Solve for x
   x = 11,914,377,409/50,204
6. Step 6: Final answer
   x = 237,319.29