Finding the Third Proportional to 36,008 and 78,514

Step by Step Solution

1. Step 1: Write the proportion equation
   36,008 : 78,514 = 78,514 : x
2. Step 2: Convert to fraction form
   36,008/78,514 = 78,514/x
3. Step 3: Cross multiply
   36,008x = 78,514 × 78,514
4. Step 4: Simplify right side
   36,008x = 6,164,448,196
5. Step 5: Solve for x
   x = 6,164,448,196/36,008
6. Step 6: Final answer
   x = 171,196.63