Finding the Third Proportional to 116,631 and 180,099

Step by Step Solution

1. Step 1: Write the proportion equation
   116,631 : 180,099 = 180,099 : x
2. Step 2: Convert to fraction form
   116,631/180,099 = 180,099/x
3. Step 3: Cross multiply
   116,631x = 180,099 × 180,099
4. Step 4: Simplify right side
   116,631x = 32,435,649,801
5. Step 5: Solve for x
   x = 32,435,649,801/116,631
6. Step 6: Final answer
   x = 278,104.88