Finding the Third Proportional to 164,634 and 253,792

Step by Step Solution

1. Step 1: Write the proportion equation
   164,634 : 253,792 = 253,792 : x
2. Step 2: Convert to fraction form
   164,634/253,792 = 253,792/x
3. Step 3: Cross multiply
   164,634x = 253,792 × 253,792
4. Step 4: Simplify right side
   164,634x = 64,410,379,264
5. Step 5: Solve for x
   x = 64,410,379,264/164,634
6. Step 6: Final answer
   x = 391,233.76