Finding the Third Proportional to 116,377 and 177,949

Step by Step Solution

1. Step 1: Write the proportion equation
   116,377 : 177,949 = 177,949 : x
2. Step 2: Convert to fraction form
   116,377/177,949 = 177,949/x
3. Step 3: Cross multiply
   116,377x = 177,949 × 177,949
4. Step 4: Simplify right side
   116,377x = 31,665,846,601
5. Step 5: Solve for x
   x = 31,665,846,601/116,377
6. Step 6: Final answer
   x = 272,097.12