Finding the Third Proportional to 114,003 and 174,983

Step by Step Solution

1. Step 1: Write the proportion equation
   114,003 : 174,983 = 174,983 : x
2. Step 2: Convert to fraction form
   114,003/174,983 = 174,983/x
3. Step 3: Cross multiply
   114,003x = 174,983 × 174,983
4. Step 4: Simplify right side
   114,003x = 30,619,050,289
5. Step 5: Solve for x
   x = 30,619,050,289/114,003
6. Step 6: Final answer
   x = 268,581.09