Finding the Third Proportional to 117,004 and 181,086

Step by Step Solution

1. Step 1: Write the proportion equation
   117,004 : 181,086 = 181,086 : x
2. Step 2: Convert to fraction form
   117,004/181,086 = 181,086/x
3. Step 3: Cross multiply
   117,004x = 181,086 × 181,086
4. Step 4: Simplify right side
   117,004x = 32,792,139,396
5. Step 5: Solve for x
   x = 32,792,139,396/117,004
6. Step 6: Final answer
   x = 280,265.11