Finding the Third Proportional to 118,908 and 174,096

Step by Step Solution

1. Step 1: Write the proportion equation
   118,908 : 174,096 = 174,096 : x
2. Step 2: Convert to fraction form
   118,908/174,096 = 174,096/x
3. Step 3: Cross multiply
   118,908x = 174,096 × 174,096
4. Step 4: Simplify right side
   118,908x = 30,309,417,216
5. Step 5: Solve for x
   x = 30,309,417,216/118,908
6. Step 6: Final answer
   x = 254,898.05