Finding the Third Proportional to 238,096 and 323,360

Step by Step Solution

1. Step 1: Write the proportion equation
   238,096 : 323,360 = 323,360 : x
2. Step 2: Convert to fraction form
   238,096/323,360 = 323,360/x
3. Step 3: Cross multiply
   238,096x = 323,360 × 323,360
4. Step 4: Simplify right side
   238,096x = 104,561,689,600
5. Step 5: Solve for x
   x = 104,561,689,600/238,096
6. Step 6: Final answer
   x = 439,157.69