Finding the Third Proportional to 89,467 and 137,065

Step by Step Solution

1. Step 1: Write the proportion equation
   89,467 : 137,065 = 137,065 : x
2. Step 2: Convert to fraction form
   89,467/137,065 = 137,065/x
3. Step 3: Cross multiply
   89,467x = 137,065 × 137,065
4. Step 4: Simplify right side
   89,467x = 18,786,814,225
5. Step 5: Solve for x
   x = 18,786,814,225/89,467
6. Step 6: Final answer
   x = 209,985.96