Finding the Third Proportional to 114,528 and 175,208

Step by Step Solution

1. Step 1: Write the proportion equation
   114,528 : 175,208 = 175,208 : x
2. Step 2: Convert to fraction form
   114,528/175,208 = 175,208/x
3. Step 3: Cross multiply
   114,528x = 175,208 × 175,208
4. Step 4: Simplify right side
   114,528x = 30,697,843,264
5. Step 5: Solve for x
   x = 30,697,843,264/114,528
6. Step 6: Final answer
   x = 268,037.89