Finding the Third Proportional to 117,008 and 181,509

Step by Step Solution

1. Step 1: Write the proportion equation
   117,008 : 181,509 = 181,509 : x
2. Step 2: Convert to fraction form
   117,008/181,509 = 181,509/x
3. Step 3: Cross multiply
   117,008x = 181,509 × 181,509
4. Step 4: Simplify right side
   117,008x = 32,945,517,081
5. Step 5: Solve for x
   x = 32,945,517,081/117,008
6. Step 6: Final answer
   x = 281,566.36