Finding the Third Proportional to 114,687 and 177,144

Step by Step Solution

1. Step 1: Write the proportion equation
   114,687 : 177,144 = 177,144 : x
2. Step 2: Convert to fraction form
   114,687/177,144 = 177,144/x
3. Step 3: Cross multiply
   114,687x = 177,144 × 177,144
4. Step 4: Simplify right side
   114,687x = 31,379,996,736
5. Step 5: Solve for x
   x = 31,379,996,736/114,687
6. Step 6: Final answer
   x = 273,614.24