Finding the Third Proportional to 50,214 and 109,174

Step by Step Solution

1. Step 1: Write the proportion equation
   50,214 : 109,174 = 109,174 : x
2. Step 2: Convert to fraction form
   50,214/109,174 = 109,174/x
3. Step 3: Cross multiply
   50,214x = 109,174 × 109,174
4. Step 4: Simplify right side
   50,214x = 11,918,962,276
5. Step 5: Solve for x
   x = 11,918,962,276/50,214
6. Step 6: Final answer
   x = 237,363.33