Finding the Third Proportional to 117,158 and 181,569

Step by Step Solution

1. Step 1: Write the proportion equation
   117,158 : 181,569 = 181,569 : x
2. Step 2: Convert to fraction form
   117,158/181,569 = 181,569/x
3. Step 3: Cross multiply
   117,158x = 181,569 × 181,569
4. Step 4: Simplify right side
   117,158x = 32,967,301,761
5. Step 5: Solve for x
   x = 32,967,301,761/117,158
6. Step 6: Final answer
   x = 281,391.81