Finding the Third Proportional to 116,440 and 178,055

Step by Step Solution

1. Step 1: Write the proportion equation
   116,440 : 178,055 = 178,055 : x
2. Step 2: Convert to fraction form
   116,440/178,055 = 178,055/x
3. Step 3: Cross multiply
   116,440x = 178,055 × 178,055
4. Step 4: Simplify right side
   116,440x = 31,703,583,025
5. Step 5: Solve for x
   x = 31,703,583,025/116,440
6. Step 6: Final answer
   x = 272,273.99