Finding the Third Proportional to 164,056.50 and 257,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,056.50 : 257,019.50 = 257,019.50 : x
2. Step 2: Convert to fraction form
   164,056.50/257,019.50 = 257,019.50/x
3. Step 3: Cross multiply
   164,056.50x = 257,019.50 × 257,019.50
4. Step 4: Simplify right side
   164,056.50x = 66,059,023,380.25
5. Step 5: Solve for x
   x = 66,059,023,380.25/164,056.50
6. Step 6: Final answer
   x = 402,660.20