Finding the Third Proportional to 118,280 and 188,105

Step by Step Solution

1. Step 1: Write the proportion equation
   118,280 : 188,105 = 188,105 : x
2. Step 2: Convert to fraction form
   118,280/188,105 = 188,105/x
3. Step 3: Cross multiply
   118,280x = 188,105 × 188,105
4. Step 4: Simplify right side
   118,280x = 35,383,491,025
5. Step 5: Solve for x
   x = 35,383,491,025/118,280
6. Step 6: Final answer
   x = 299,150.25