Finding the Third Proportional to 89,014 and 137,782

Step by Step Solution

1. Step 1: Write the proportion equation
   89,014 : 137,782 = 137,782 : x
2. Step 2: Convert to fraction form
   89,014/137,782 = 137,782/x
3. Step 3: Cross multiply
   89,014x = 137,782 × 137,782
4. Step 4: Simplify right side
   89,014x = 18,983,879,524
5. Step 5: Solve for x
   x = 18,983,879,524/89,014
6. Step 6: Final answer
   x = 213,268.47