Finding the Third Proportional to 42,019 and 88,628

Step by Step Solution

1. Step 1: Write the proportion equation
   42,019 : 88,628 = 88,628 : x
2. Step 2: Convert to fraction form
   42,019/88,628 = 88,628/x
3. Step 3: Cross multiply
   42,019x = 88,628 × 88,628
4. Step 4: Simplify right side
   42,019x = 7,854,922,384
5. Step 5: Solve for x
   x = 7,854,922,384/42,019
6. Step 6: Final answer
   x = 186,937.39