Finding the Third Proportional to 117,118 and 175,356

Step by Step Solution

1. Step 1: Write the proportion equation
   117,118 : 175,356 = 175,356 : x
2. Step 2: Convert to fraction form
   117,118/175,356 = 175,356/x
3. Step 3: Cross multiply
   117,118x = 175,356 × 175,356
4. Step 4: Simplify right side
   117,118x = 30,749,726,736
5. Step 5: Solve for x
   x = 30,749,726,736/117,118
6. Step 6: Final answer
   x = 262,553.38