Finding the Third Proportional to 53,238 and 83,514

Step by Step Solution

1. Step 1: Write the proportion equation
   53,238 : 83,514 = 83,514 : x
2. Step 2: Convert to fraction form
   53,238/83,514 = 83,514/x
3. Step 3: Cross multiply
   53,238x = 83,514 × 83,514
4. Step 4: Simplify right side
   53,238x = 6,974,588,196
5. Step 5: Solve for x
   x = 6,974,588,196/53,238
6. Step 6: Final answer
   x = 131,007.70