Finding the Third Proportional to 50,196 and 109,137

Step by Step Solution

1. Step 1: Write the proportion equation
   50,196 : 109,137 = 109,137 : x
2. Step 2: Convert to fraction form
   50,196/109,137 = 109,137/x
3. Step 3: Cross multiply
   50,196x = 109,137 × 109,137
4. Step 4: Simplify right side
   50,196x = 11,910,884,769
5. Step 5: Solve for x
   x = 11,910,884,769/50,196
6. Step 6: Final answer
   x = 237,287.53