Finding the Third Proportional to 42,784 and 89,456

Step by Step Solution

1. Step 1: Write the proportion equation
   42,784 : 89,456 = 89,456 : x
2. Step 2: Convert to fraction form
   42,784/89,456 = 89,456/x
3. Step 3: Cross multiply
   42,784x = 89,456 × 89,456
4. Step 4: Simplify right side
   42,784x = 8,002,375,936
5. Step 5: Solve for x
   x = 8,002,375,936/42,784
6. Step 6: Final answer
   x = 187,041.32