Finding the Third Proportional to 114,022.69 and 178,865.72

Step by Step Solution

1. Step 1: Write the proportion equation
   114,022.69 : 178,865.72 = 178,865.72 : x
2. Step 2: Convert to fraction form
   114,022.69/178,865.72 = 178,865.72/x
3. Step 3: Cross multiply
   114,022.69x = 178,865.72 × 178,865.72
4. Step 4: Simplify right side
   114,022.69x = 31,992,945,343.95
5. Step 5: Solve for x
   x = 31,992,945,343.95/114,022.69
6. Step 6: Final answer
   x = 280,584.03