Finding the Third Proportional to 114,196 and 175,662

Step by Step Solution

1. Step 1: Write the proportion equation
   114,196 : 175,662 = 175,662 : x
2. Step 2: Convert to fraction form
   114,196/175,662 = 175,662/x
3. Step 3: Cross multiply
   114,196x = 175,662 × 175,662
4. Step 4: Simplify right side
   114,196x = 30,857,138,244
5. Step 5: Solve for x
   x = 30,857,138,244/114,196
6. Step 6: Final answer
   x = 270,212.08