Finding the Third Proportional to 102,584 and 231,508

Step by Step Solution

1. Step 1: Write the proportion equation
   102,584 : 231,508 = 231,508 : x
2. Step 2: Convert to fraction form
   102,584/231,508 = 231,508/x
3. Step 3: Cross multiply
   102,584x = 231,508 × 231,508
4. Step 4: Simplify right side
   102,584x = 53,595,954,064
5. Step 5: Solve for x
   x = 53,595,954,064/102,584
6. Step 6: Final answer
   x = 522,459.20