Finding the Third Proportional to 81,568 and 109,776

Step by Step Solution

1. Step 1: Write the proportion equation
   81,568 : 109,776 = 109,776 : x
2. Step 2: Convert to fraction form
   81,568/109,776 = 109,776/x
3. Step 3: Cross multiply
   81,568x = 109,776 × 109,776
4. Step 4: Simplify right side
   81,568x = 12,050,770,176
5. Step 5: Solve for x
   x = 12,050,770,176/81,568
6. Step 6: Final answer
   x = 147,738.94