Finding the Third Proportional to 114,066 and 174,987

Step by Step Solution

1. Step 1: Write the proportion equation
   114,066 : 174,987 = 174,987 : x
2. Step 2: Convert to fraction form
   114,066/174,987 = 174,987/x
3. Step 3: Cross multiply
   114,066x = 174,987 × 174,987
4. Step 4: Simplify right side
   114,066x = 30,620,450,169
5. Step 5: Solve for x
   x = 30,620,450,169/114,066
6. Step 6: Final answer
   x = 268,445.02