Finding the Third Proportional to 117,168 and 181,578

Step by Step Solution

1. Step 1: Write the proportion equation
   117,168 : 181,578 = 181,578 : x
2. Step 2: Convert to fraction form
   117,168/181,578 = 181,578/x
3. Step 3: Cross multiply
   117,168x = 181,578 × 181,578
4. Step 4: Simplify right side
   117,168x = 32,970,570,084
5. Step 5: Solve for x
   x = 32,970,570,084/117,168
6. Step 6: Final answer
   x = 281,395.69