Finding the Third Proportional to 165,534 and 256,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,534 : 256,780.50 = 256,780.50 : x
2. Step 2: Convert to fraction form
   165,534/256,780.50 = 256,780.50/x
3. Step 3: Cross multiply
   165,534x = 256,780.50 × 256,780.50
4. Step 4: Simplify right side
   165,534x = 65,936,225,180.25
5. Step 5: Solve for x
   x = 65,936,225,180.25/165,534
6. Step 6: Final answer
   x = 398,324.36