Finding the Third Proportional to 86,196 and 185,514

Step by Step Solution

1. Step 1: Write the proportion equation
   86,196 : 185,514 = 185,514 : x
2. Step 2: Convert to fraction form
   86,196/185,514 = 185,514/x
3. Step 3: Cross multiply
   86,196x = 185,514 × 185,514
4. Step 4: Simplify right side
   86,196x = 34,415,444,196
5. Step 5: Solve for x
   x = 34,415,444,196/86,196
6. Step 6: Final answer
   x = 399,269.62