Finding the Third Proportional to 42,496 and 89,856

Step by Step Solution

1. Step 1: Write the proportion equation
   42,496 : 89,856 = 89,856 : x
2. Step 2: Convert to fraction form
   42,496/89,856 = 89,856/x
3. Step 3: Cross multiply
   42,496x = 89,856 × 89,856
4. Step 4: Simplify right side
   42,496x = 8,074,100,736
5. Step 5: Solve for x
   x = 8,074,100,736/42,496
6. Step 6: Final answer
   x = 189,996.72