Finding the Third Proportional to 50,223 and 109,375.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,223 : 109,375.50 = 109,375.50 : x
2. Step 2: Convert to fraction form
   50,223/109,375.50 = 109,375.50/x
3. Step 3: Cross multiply
   50,223x = 109,375.50 × 109,375.50
4. Step 4: Simplify right side
   50,223x = 11,963,000,000.25
5. Step 5: Solve for x
   x = 11,963,000,000.25/50,223
6. Step 6: Final answer
   x = 238,197.64