Finding the Third Proportional to 164,056 and 257,012

Step by Step Solution

1. Step 1: Write the proportion equation
   164,056 : 257,012 = 257,012 : x
2. Step 2: Convert to fraction form
   164,056/257,012 = 257,012/x
3. Step 3: Cross multiply
   164,056x = 257,012 × 257,012
4. Step 4: Simplify right side
   164,056x = 66,055,168,144
5. Step 5: Solve for x
   x = 66,055,168,144/164,056
6. Step 6: Final answer
   x = 402,637.93