Finding the Third Proportional to 52,589 and 115,384

Step by Step Solution

1. Step 1: Write the proportion equation
   52,589 : 115,384 = 115,384 : x
2. Step 2: Convert to fraction form
   52,589/115,384 = 115,384/x
3. Step 3: Cross multiply
   52,589x = 115,384 × 115,384
4. Step 4: Simplify right side
   52,589x = 13,313,467,456
5. Step 5: Solve for x
   x = 13,313,467,456/52,589
6. Step 6: Final answer
   x = 253,160.69