Finding the Third Proportional to 124,191 and 196,736

Step by Step Solution

1. Step 1: Write the proportion equation
   124,191 : 196,736 = 196,736 : x
2. Step 2: Convert to fraction form
   124,191/196,736 = 196,736/x
3. Step 3: Cross multiply
   124,191x = 196,736 × 196,736
4. Step 4: Simplify right side
   124,191x = 38,705,053,696
5. Step 5: Solve for x
   x = 38,705,053,696/124,191
6. Step 6: Final answer
   x = 311,657.48