Finding the Third Proportional to 102,589 and 231,520

Step by Step Solution

1. Step 1: Write the proportion equation
   102,589 : 231,520 = 231,520 : x
2. Step 2: Convert to fraction form
   102,589/231,520 = 231,520/x
3. Step 3: Cross multiply
   102,589x = 231,520 × 231,520
4. Step 4: Simplify right side
   102,589x = 53,601,510,400
5. Step 5: Solve for x
   x = 53,601,510,400/102,589
6. Step 6: Final answer
   x = 522,487.89