Finding the Third Proportional to 89,006 and 137,770

Step by Step Solution

1. Step 1: Write the proportion equation
   89,006 : 137,770 = 137,770 : x
2. Step 2: Convert to fraction form
   89,006/137,770 = 137,770/x
3. Step 3: Cross multiply
   89,006x = 137,770 × 137,770
4. Step 4: Simplify right side
   89,006x = 18,980,572,900
5. Step 5: Solve for x
   x = 18,980,572,900/89,006
6. Step 6: Final answer
   x = 213,250.49