Finding the Third Proportional to 102,857 and 155,384

Step by Step Solution

1. Step 1: Write the proportion equation
   102,857 : 155,384 = 155,384 : x
2. Step 2: Convert to fraction form
   102,857/155,384 = 155,384/x
3. Step 3: Cross multiply
   102,857x = 155,384 × 155,384
4. Step 4: Simplify right side
   102,857x = 24,144,187,456
5. Step 5: Solve for x
   x = 24,144,187,456/102,857
6. Step 6: Final answer
   x = 234,735.48