Finding the Third Proportional to 89,986 and 137,706

Step by Step Solution

1. Step 1: Write the proportion equation
   89,986 : 137,706 = 137,706 : x
2. Step 2: Convert to fraction form
   89,986/137,706 = 137,706/x
3. Step 3: Cross multiply
   89,986x = 137,706 × 137,706
4. Step 4: Simplify right side
   89,986x = 18,962,942,436
5. Step 5: Solve for x
   x = 18,962,942,436/89,986
6. Step 6: Final answer
   x = 210,732.14