Finding the Third Proportional to 150,848 and 223,662

Step by Step Solution

1. Step 1: Write the proportion equation
   150,848 : 223,662 = 223,662 : x
2. Step 2: Convert to fraction form
   150,848/223,662 = 223,662/x
3. Step 3: Cross multiply
   150,848x = 223,662 × 223,662
4. Step 4: Simplify right side
   150,848x = 50,024,690,244
5. Step 5: Solve for x
   x = 50,024,690,244/150,848
6. Step 6: Final answer
   x = 331,623.16