Finding the Third Proportional to 90,648 and 166,392

Step by Step Solution

1. Step 1: Write the proportion equation
   90,648 : 166,392 = 166,392 : x
2. Step 2: Convert to fraction form
   90,648/166,392 = 166,392/x
3. Step 3: Cross multiply
   90,648x = 166,392 × 166,392
4. Step 4: Simplify right side
   90,648x = 27,686,297,664
5. Step 5: Solve for x
   x = 27,686,297,664/90,648
6. Step 6: Final answer
   x = 305,426.46