Finding the Third Proportional to 116,367.50 and 177,936

Step by Step Solution

1. Step 1: Write the proportion equation
   116,367.50 : 177,936 = 177,936 : x
2. Step 2: Convert to fraction form
   116,367.50/177,936 = 177,936/x
3. Step 3: Cross multiply
   116,367.50x = 177,936 × 177,936
4. Step 4: Simplify right side
   116,367.50x = 31,661,220,096
5. Step 5: Solve for x
   x = 31,661,220,096/116,367.50
6. Step 6: Final answer
   x = 272,079.58