Finding the Third Proportional to 117,007 and 181,505

Step by Step Solution

1. Step 1: Write the proportion equation
   117,007 : 181,505 = 181,505 : x
2. Step 2: Convert to fraction form
   117,007/181,505 = 181,505/x
3. Step 3: Cross multiply
   117,007x = 181,505 × 181,505
4. Step 4: Simplify right side
   117,007x = 32,944,065,025
5. Step 5: Solve for x
   x = 32,944,065,025/117,007
6. Step 6: Final answer
   x = 281,556.36