Finding the Third Proportional to 59,538 and 89,243

Step by Step Solution

1. Step 1: Write the proportion equation
   59,538 : 89,243 = 89,243 : x
2. Step 2: Convert to fraction form
   59,538/89,243 = 89,243/x
3. Step 3: Cross multiply
   59,538x = 89,243 × 89,243
4. Step 4: Simplify right side
   59,538x = 7,964,313,049
5. Step 5: Solve for x
   x = 7,964,313,049/59,538
6. Step 6: Final answer
   x = 133,768.57