Finding the Third Proportional to 164,336 and 253,466

Step by Step Solution

1. Step 1: Write the proportion equation
   164,336 : 253,466 = 253,466 : x
2. Step 2: Convert to fraction form
   164,336/253,466 = 253,466/x
3. Step 3: Cross multiply
   164,336x = 253,466 × 253,466
4. Step 4: Simplify right side
   164,336x = 64,245,013,156
5. Step 5: Solve for x
   x = 64,245,013,156/164,336
6. Step 6: Final answer
   x = 390,936.94