Finding the Third Proportional to 116,676 and 181,007

Step by Step Solution

1. Step 1: Write the proportion equation
   116,676 : 181,007 = 181,007 : x
2. Step 2: Convert to fraction form
   116,676/181,007 = 181,007/x
3. Step 3: Cross multiply
   116,676x = 181,007 × 181,007
4. Step 4: Simplify right side
   116,676x = 32,763,534,049
5. Step 5: Solve for x
   x = 32,763,534,049/116,676
6. Step 6: Final answer
   x = 280,807.83