Finding the Third Proportional to 108,084 and 172,667

Step by Step Solution

1. Step 1: Write the proportion equation
   108,084 : 172,667 = 172,667 : x
2. Step 2: Convert to fraction form
   108,084/172,667 = 172,667/x
3. Step 3: Cross multiply
   108,084x = 172,667 × 172,667
4. Step 4: Simplify right side
   108,084x = 29,813,892,889
5. Step 5: Solve for x
   x = 29,813,892,889/108,084
6. Step 6: Final answer
   x = 275,840.02