Finding the Third Proportional to 238,144 and 323,422

Step by Step Solution

1. Step 1: Write the proportion equation
   238,144 : 323,422 = 323,422 : x
2. Step 2: Convert to fraction form
   238,144/323,422 = 323,422/x
3. Step 3: Cross multiply
   238,144x = 323,422 × 323,422
4. Step 4: Simplify right side
   238,144x = 104,601,790,084
5. Step 5: Solve for x
   x = 104,601,790,084/238,144
6. Step 6: Final answer
   x = 439,237.56