Finding the Third Proportional to 36,086 and 78,730

Step by Step Solution

1. Step 1: Write the proportion equation
   36,086 : 78,730 = 78,730 : x
2. Step 2: Convert to fraction form
   36,086/78,730 = 78,730/x
3. Step 3: Cross multiply
   36,086x = 78,730 × 78,730
4. Step 4: Simplify right side
   36,086x = 6,198,412,900
5. Step 5: Solve for x
   x = 6,198,412,900/36,086
6. Step 6: Final answer
   x = 171,767.80