Finding the Third Proportional to 116,716.50 and 182,901.38

Step by Step Solution

1. Step 1: Write the proportion equation
   116,716.50 : 182,901.38 = 182,901.38 : x
2. Step 2: Convert to fraction form
   116,716.50/182,901.38 = 182,901.38/x
3. Step 3: Cross multiply
   116,716.50x = 182,901.38 × 182,901.38
4. Step 4: Simplify right side
   116,716.50x = 33,452,912,976.89
5. Step 5: Solve for x
   x = 33,452,912,976.89/116,716.50
6. Step 6: Final answer
   x = 286,616.83