Finding the Third Proportional to 42,842 and 89,563

Step by Step Solution

1. Step 1: Write the proportion equation
   42,842 : 89,563 = 89,563 : x
2. Step 2: Convert to fraction form
   42,842/89,563 = 89,563/x
3. Step 3: Cross multiply
   42,842x = 89,563 × 89,563
4. Step 4: Simplify right side
   42,842x = 8,021,530,969
5. Step 5: Solve for x
   x = 8,021,530,969/42,842
6. Step 6: Final answer
   x = 187,235.21