Finding the Third Proportional to 89,306 and 123,023

Step by Step Solution

1. Step 1: Write the proportion equation
   89,306 : 123,023 = 123,023 : x
2. Step 2: Convert to fraction form
   89,306/123,023 = 123,023/x
3. Step 3: Cross multiply
   89,306x = 123,023 × 123,023
4. Step 4: Simplify right side
   89,306x = 15,134,658,529
5. Step 5: Solve for x
   x = 15,134,658,529/89,306
6. Step 6: Final answer
   x = 169,469.67