Finding the Third Proportional to 117,768 and 177,144

Step by Step Solution

1. Step 1: Write the proportion equation
   117,768 : 177,144 = 177,144 : x
2. Step 2: Convert to fraction form
   117,768/177,144 = 177,144/x
3. Step 3: Cross multiply
   117,768x = 177,144 × 177,144
4. Step 4: Simplify right side
   117,768x = 31,379,996,736
5. Step 5: Solve for x
   x = 31,379,996,736/117,768
6. Step 6: Final answer
   x = 266,456.06