Finding the Third Proportional to 118,169 and 175,398

Step by Step Solution

1. Step 1: Write the proportion equation
   118,169 : 175,398 = 175,398 : x
2. Step 2: Convert to fraction form
   118,169/175,398 = 175,398/x
3. Step 3: Cross multiply
   118,169x = 175,398 × 175,398
4. Step 4: Simplify right side
   118,169x = 30,764,458,404
5. Step 5: Solve for x
   x = 30,764,458,404/118,169
6. Step 6: Final answer
   x = 260,342.89