Finding the Third Proportional to 116,361 and 176,904

Step by Step Solution

1. Step 1: Write the proportion equation
   116,361 : 176,904 = 176,904 : x
2. Step 2: Convert to fraction form
   116,361/176,904 = 176,904/x
3. Step 3: Cross multiply
   116,361x = 176,904 × 176,904
4. Step 4: Simplify right side
   116,361x = 31,295,025,216
5. Step 5: Solve for x
   x = 31,295,025,216/116,361
6. Step 6: Final answer
   x = 268,947.72