Finding the Third Proportional to 90,182 and 121,665

Step by Step Solution

1. Step 1: Write the proportion equation
   90,182 : 121,665 = 121,665 : x
2. Step 2: Convert to fraction form
   90,182/121,665 = 121,665/x
3. Step 3: Cross multiply
   90,182x = 121,665 × 121,665
4. Step 4: Simplify right side
   90,182x = 14,802,372,225
5. Step 5: Solve for x
   x = 14,802,372,225/90,182
6. Step 6: Final answer
   x = 164,138.88