Finding the Third Proportional to 118,491 and 181,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,491 : 181,696.50 = 181,696.50 : x
2. Step 2: Convert to fraction form
   118,491/181,696.50 = 181,696.50/x
3. Step 3: Cross multiply
   118,491x = 181,696.50 × 181,696.50
4. Step 4: Simplify right side
   118,491x = 33,013,618,112.25
5. Step 5: Solve for x
   x = 33,013,618,112.25/118,491
6. Step 6: Final answer
   x = 278,617.09