Finding the Third Proportional to 116,965.69 and 176,280.47

Step by Step Solution

1. Step 1: Write the proportion equation
   116,965.69 : 176,280.47 = 176,280.47 : x
2. Step 2: Convert to fraction form
   116,965.69/176,280.47 = 176,280.47/x
3. Step 3: Cross multiply
   116,965.69x = 176,280.47 × 176,280.47
4. Step 4: Simplify right side
   116,965.69x = 31,074,803,662.72
5. Step 5: Solve for x
   x = 31,074,803,662.72/116,965.69
6. Step 6: Final answer
   x = 265,674.53