Finding the Third Proportional to 78,241 and 117,736

Step by Step Solution

1. Step 1: Write the proportion equation
   78,241 : 117,736 = 117,736 : x
2. Step 2: Convert to fraction form
   78,241/117,736 = 117,736/x
3. Step 3: Cross multiply
   78,241x = 117,736 × 117,736
4. Step 4: Simplify right side
   78,241x = 13,861,765,696
5. Step 5: Solve for x
   x = 13,861,765,696/78,241
6. Step 6: Final answer
   x = 177,167.54