Finding the Third Proportional to 164,064 and 253,020

Step by Step Solution

1. Step 1: Write the proportion equation
   164,064 : 253,020 = 253,020 : x
2. Step 2: Convert to fraction form
   164,064/253,020 = 253,020/x
3. Step 3: Cross multiply
   164,064x = 253,020 × 253,020
4. Step 4: Simplify right side
   164,064x = 64,019,120,400
5. Step 5: Solve for x
   x = 64,019,120,400/164,064
6. Step 6: Final answer
   x = 390,208.21