Finding the Third Proportional to 42,844 and 89,567

Step by Step Solution

1. Step 1: Write the proportion equation
   42,844 : 89,567 = 89,567 : x
2. Step 2: Convert to fraction form
   42,844/89,567 = 89,567/x
3. Step 3: Cross multiply
   42,844x = 89,567 × 89,567
4. Step 4: Simplify right side
   42,844x = 8,022,247,489
5. Step 5: Solve for x
   x = 8,022,247,489/42,844
6. Step 6: Final answer
   x = 187,243.20