Finding the Third Proportional to 116,382 and 177,954

Step by Step Solution

1. Step 1: Write the proportion equation
   116,382 : 177,954 = 177,954 : x
2. Step 2: Convert to fraction form
   116,382/177,954 = 177,954/x
3. Step 3: Cross multiply
   116,382x = 177,954 × 177,954
4. Step 4: Simplify right side
   116,382x = 31,667,626,116
5. Step 5: Solve for x
   x = 31,667,626,116/116,382
6. Step 6: Final answer
   x = 272,100.72