Finding the Third Proportional to 150,224 and 233,956

Step by Step Solution

1. Step 1: Write the proportion equation
   150,224 : 233,956 = 233,956 : x
2. Step 2: Convert to fraction form
   150,224/233,956 = 233,956/x
3. Step 3: Cross multiply
   150,224x = 233,956 × 233,956
4. Step 4: Simplify right side
   150,224x = 54,735,409,936
5. Step 5: Solve for x
   x = 54,735,409,936/150,224
6. Step 6: Final answer
   x = 364,358.62