Finding the Third Proportional to 117,009 and 181,508

Step by Step Solution

1. Step 1: Write the proportion equation
   117,009 : 181,508 = 181,508 : x
2. Step 2: Convert to fraction form
   117,009/181,508 = 181,508/x
3. Step 3: Cross multiply
   117,009x = 181,508 × 181,508
4. Step 4: Simplify right side
   117,009x = 32,945,154,064
5. Step 5: Solve for x
   x = 32,945,154,064/117,009
6. Step 6: Final answer
   x = 281,560.85