Finding the Third Proportional to 164,056 and 356,570

Step by Step Solution

1. Step 1: Write the proportion equation
   164,056 : 356,570 = 356,570 : x
2. Step 2: Convert to fraction form
   164,056/356,570 = 356,570/x
3. Step 3: Cross multiply
   164,056x = 356,570 × 356,570
4. Step 4: Simplify right side
   164,056x = 127,142,164,900
5. Step 5: Solve for x
   x = 127,142,164,900/164,056
6. Step 6: Final answer
   x = 774,992.47