Finding the Third Proportional to 42,845 and 89,569

Step by Step Solution

1. Step 1: Write the proportion equation
   42,845 : 89,569 = 89,569 : x
2. Step 2: Convert to fraction form
   42,845/89,569 = 89,569/x
3. Step 3: Cross multiply
   42,845x = 89,569 × 89,569
4. Step 4: Simplify right side
   42,845x = 8,022,605,761
5. Step 5: Solve for x
   x = 8,022,605,761/42,845
6. Step 6: Final answer
   x = 187,247.19