Finding the Third Proportional to 89,625 and 137,571

Step by Step Solution

1. Step 1: Write the proportion equation
   89,625 : 137,571 = 137,571 : x
2. Step 2: Convert to fraction form
   89,625/137,571 = 137,571/x
3. Step 3: Cross multiply
   89,625x = 137,571 × 137,571
4. Step 4: Simplify right side
   89,625x = 18,925,780,041
5. Step 5: Solve for x
   x = 18,925,780,041/89,625
6. Step 6: Final answer
   x = 211,166.30