Finding the Third Proportional to 117,004.50 and 181,086.75

Step by Step Solution

1. Step 1: Write the proportion equation
   117,004.50 : 181,086.75 = 181,086.75 : x
2. Step 2: Convert to fraction form
   117,004.50/181,086.75 = 181,086.75/x
3. Step 3: Cross multiply
   117,004.50x = 181,086.75 × 181,086.75
4. Step 4: Simplify right side
   117,004.50x = 32,792,411,025.56
5. Step 5: Solve for x
   x = 32,792,411,025.56/117,004.50
6. Step 6: Final answer
   x = 280,266.24