Finding the Third Proportional to 90,180 and 121,662

Step by Step Solution

1. Step 1: Write the proportion equation
   90,180 : 121,662 = 121,662 : x
2. Step 2: Convert to fraction form
   90,180/121,662 = 121,662/x
3. Step 3: Cross multiply
   90,180x = 121,662 × 121,662
4. Step 4: Simplify right side
   90,180x = 14,801,642,244
5. Step 5: Solve for x
   x = 14,801,642,244/90,180
6. Step 6: Final answer
   x = 164,134.42