Finding the Third Proportional to 116,665 and 180,992

Step by Step Solution

1. Step 1: Write the proportion equation
   116,665 : 180,992 = 180,992 : x
2. Step 2: Convert to fraction form
   116,665/180,992 = 180,992/x
3. Step 3: Cross multiply
   116,665x = 180,992 × 180,992
4. Step 4: Simplify right side
   116,665x = 32,758,104,064
5. Step 5: Solve for x
   x = 32,758,104,064/116,665
6. Step 6: Final answer
   x = 280,787.76