Finding the Third Proportional to 116,670 and 174,966

Step by Step Solution

1. Step 1: Write the proportion equation
   116,670 : 174,966 = 174,966 : x
2. Step 2: Convert to fraction form
   116,670/174,966 = 174,966/x
3. Step 3: Cross multiply
   116,670x = 174,966 × 174,966
4. Step 4: Simplify right side
   116,670x = 30,613,101,156
5. Step 5: Solve for x
   x = 30,613,101,156/116,670
6. Step 6: Final answer
   x = 262,390.51