Finding the Third Proportional to 89,834 and 149,711

Step by Step Solution

1. Step 1: Write the proportion equation
   89,834 : 149,711 = 149,711 : x
2. Step 2: Convert to fraction form
   89,834/149,711 = 149,711/x
3. Step 3: Cross multiply
   89,834x = 149,711 × 149,711
4. Step 4: Simplify right side
   89,834x = 22,413,383,521
5. Step 5: Solve for x
   x = 22,413,383,521/89,834
6. Step 6: Final answer
   x = 249,497.78