Finding the Third Proportional to 116,724 and 181,086

Step by Step Solution

1. Step 1: Write the proportion equation
   116,724 : 181,086 = 181,086 : x
2. Step 2: Convert to fraction form
   116,724/181,086 = 181,086/x
3. Step 3: Cross multiply
   116,724x = 181,086 × 181,086
4. Step 4: Simplify right side
   116,724x = 32,792,139,396
5. Step 5: Solve for x
   x = 32,792,139,396/116,724
6. Step 6: Final answer
   x = 280,937.42