Finding the Third Proportional to 42,080 and 90,568

Step by Step Solution

1. Step 1: Write the proportion equation
   42,080 : 90,568 = 90,568 : x
2. Step 2: Convert to fraction form
   42,080/90,568 = 90,568/x
3. Step 3: Cross multiply
   42,080x = 90,568 × 90,568
4. Step 4: Simplify right side
   42,080x = 8,202,562,624
5. Step 5: Solve for x
   x = 8,202,562,624/42,080
6. Step 6: Final answer
   x = 194,927.82