Finding the Third Proportional to 65,636 and 98,514

Step by Step Solution

1. Step 1: Write the proportion equation
   65,636 : 98,514 = 98,514 : x
2. Step 2: Convert to fraction form
   65,636/98,514 = 98,514/x
3. Step 3: Cross multiply
   65,636x = 98,514 × 98,514
4. Step 4: Simplify right side
   65,636x = 9,705,008,196
5. Step 5: Solve for x
   x = 9,705,008,196/65,636
6. Step 6: Final answer
   x = 147,861.05