Finding the Third Proportional to 164,061 and 257,028

Step by Step Solution

1. Step 1: Write the proportion equation
   164,061 : 257,028 = 257,028 : x
2. Step 2: Convert to fraction form
   164,061/257,028 = 257,028/x
3. Step 3: Cross multiply
   164,061x = 257,028 × 257,028
4. Step 4: Simplify right side
   164,061x = 66,063,392,784
5. Step 5: Solve for x
   x = 66,063,392,784/164,061
6. Step 6: Final answer
   x = 402,675.79