Finding the Third Proportional to 89,168 and 138,514

Step by Step Solution

1. Step 1: Write the proportion equation
   89,168 : 138,514 = 138,514 : x
2. Step 2: Convert to fraction form
   89,168/138,514 = 138,514/x
3. Step 3: Cross multiply
   89,168x = 138,514 × 138,514
4. Step 4: Simplify right side
   89,168x = 19,186,128,196
5. Step 5: Solve for x
   x = 19,186,128,196/89,168
6. Step 6: Final answer
   x = 215,168.31