Finding the Third Proportional to 114,760 and 175,443

Step by Step Solution

1. Step 1: Write the proportion equation
   114,760 : 175,443 = 175,443 : x
2. Step 2: Convert to fraction form
   114,760/175,443 = 175,443/x
3. Step 3: Cross multiply
   114,760x = 175,443 × 175,443
4. Step 4: Simplify right side
   114,760x = 30,780,246,249
5. Step 5: Solve for x
   x = 30,780,246,249/114,760
6. Step 6: Final answer
   x = 268,214.07