Finding the Third Proportional to 114,192 and 175,656

Step by Step Solution

1. Step 1: Write the proportion equation
   114,192 : 175,656 = 175,656 : x
2. Step 2: Convert to fraction form
   114,192/175,656 = 175,656/x
3. Step 3: Cross multiply
   114,192x = 175,656 × 175,656
4. Step 4: Simplify right side
   114,192x = 30,855,030,336
5. Step 5: Solve for x
   x = 30,855,030,336/114,192
6. Step 6: Final answer
   x = 270,203.08