Finding the Third Proportional to 117,084 and 181,632

Step by Step Solution

1. Step 1: Write the proportion equation
   117,084 : 181,632 = 181,632 : x
2. Step 2: Convert to fraction form
   117,084/181,632 = 181,632/x
3. Step 3: Cross multiply
   117,084x = 181,632 × 181,632
4. Step 4: Simplify right side
   117,084x = 32,990,183,424
5. Step 5: Solve for x
   x = 32,990,183,424/117,084
6. Step 6: Final answer
   x = 281,765.09