Finding the Third Proportional to 118,874 and 174,672

Step by Step Solution

1. Step 1: Write the proportion equation
   118,874 : 174,672 = 174,672 : x
2. Step 2: Convert to fraction form
   118,874/174,672 = 174,672/x
3. Step 3: Cross multiply
   118,874x = 174,672 × 174,672
4. Step 4: Simplify right side
   118,874x = 30,510,307,584
5. Step 5: Solve for x
   x = 30,510,307,584/118,874
6. Step 6: Final answer
   x = 256,660.90