Finding the Third Proportional to 89,858 and 137,514

Step by Step Solution

1. Step 1: Write the proportion equation
   89,858 : 137,514 = 137,514 : x
2. Step 2: Convert to fraction form
   89,858/137,514 = 137,514/x
3. Step 3: Cross multiply
   89,858x = 137,514 × 137,514
4. Step 4: Simplify right side
   89,858x = 18,910,100,196
5. Step 5: Solve for x
   x = 18,910,100,196/89,858
6. Step 6: Final answer
   x = 210,444.26