Finding the Third Proportional to 37,514 and 88,556

Step by Step Solution

1. Step 1: Write the proportion equation
   37,514 : 88,556 = 88,556 : x
2. Step 2: Convert to fraction form
   37,514/88,556 = 88,556/x
3. Step 3: Cross multiply
   37,514x = 88,556 × 88,556
4. Step 4: Simplify right side
   37,514x = 7,842,165,136
5. Step 5: Solve for x
   x = 7,842,165,136/37,514
6. Step 6: Final answer
   x = 209,046.36