Finding the Third Proportional to 116,766 and 180,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,766 : 180,616.50 = 180,616.50 : x
2. Step 2: Convert to fraction form
   116,766/180,616.50 = 180,616.50/x
3. Step 3: Cross multiply
   116,766x = 180,616.50 × 180,616.50
4. Step 4: Simplify right side
   116,766x = 32,622,320,072.25
5. Step 5: Solve for x
   x = 32,622,320,072.25/116,766
6. Step 6: Final answer
   x = 279,382.01