Finding the Third Proportional to 116,669 and 174,967

Step by Step Solution

1. Step 1: Write the proportion equation
   116,669 : 174,967 = 174,967 : x
2. Step 2: Convert to fraction form
   116,669/174,967 = 174,967/x
3. Step 3: Cross multiply
   116,669x = 174,967 × 174,967
4. Step 4: Simplify right side
   116,669x = 30,613,451,089
5. Step 5: Solve for x
   x = 30,613,451,089/116,669
6. Step 6: Final answer
   x = 262,395.76