Finding the Third Proportional to 118,986 and 175,188

Step by Step Solution

1. Step 1: Write the proportion equation
   118,986 : 175,188 = 175,188 : x
2. Step 2: Convert to fraction form
   118,986/175,188 = 175,188/x
3. Step 3: Cross multiply
   118,986x = 175,188 × 175,188
4. Step 4: Simplify right side
   118,986x = 30,690,835,344
5. Step 5: Solve for x
   x = 30,690,835,344/118,986
6. Step 6: Final answer
   x = 257,936.52