Finding the Third Proportional to 116,726 and 181,089

Step by Step Solution

1. Step 1: Write the proportion equation
   116,726 : 181,089 = 181,089 : x
2. Step 2: Convert to fraction form
   116,726/181,089 = 181,089/x
3. Step 3: Cross multiply
   116,726x = 181,089 × 181,089
4. Step 4: Simplify right side
   116,726x = 32,793,225,921
5. Step 5: Solve for x
   x = 32,793,225,921/116,726
6. Step 6: Final answer
   x = 280,941.91