Finding the Third Proportional to 165,096 and 256,290

Step by Step Solution

1. Step 1: Write the proportion equation
   165,096 : 256,290 = 256,290 : x
2. Step 2: Convert to fraction form
   165,096/256,290 = 256,290/x
3. Step 3: Cross multiply
   165,096x = 256,290 × 256,290
4. Step 4: Simplify right side
   165,096x = 65,684,564,100
5. Step 5: Solve for x
   x = 65,684,564,100/165,096
6. Step 6: Final answer
   x = 397,856.79