Finding the Third Proportional to 89,823 and 149,711

Step by Step Solution

1. Step 1: Write the proportion equation
   89,823 : 149,711 = 149,711 : x
2. Step 2: Convert to fraction form
   89,823/149,711 = 149,711/x
3. Step 3: Cross multiply
   89,823x = 149,711 × 149,711
4. Step 4: Simplify right side
   89,823x = 22,413,383,521
5. Step 5: Solve for x
   x = 22,413,383,521/89,823
6. Step 6: Final answer
   x = 249,528.33