Finding the Third Proportional to 42,544 and 89,442

Step by Step Solution

1. Step 1: Write the proportion equation
   42,544 : 89,442 = 89,442 : x
2. Step 2: Convert to fraction form
   42,544/89,442 = 89,442/x
3. Step 3: Cross multiply
   42,544x = 89,442 × 89,442
4. Step 4: Simplify right side
   42,544x = 7,999,871,364
5. Step 5: Solve for x
   x = 7,999,871,364/42,544
6. Step 6: Final answer
   x = 188,037.59