Finding the Third Proportional to 50,229 and 109,194

Step by Step Solution

1. Step 1: Write the proportion equation
   50,229 : 109,194 = 109,194 : x
2. Step 2: Convert to fraction form
   50,229/109,194 = 109,194/x
3. Step 3: Cross multiply
   50,229x = 109,194 × 109,194
4. Step 4: Simplify right side
   50,229x = 11,923,329,636
5. Step 5: Solve for x
   x = 11,923,329,636/50,229
6. Step 6: Final answer
   x = 237,379.40