Finding the Third Proportional to 42,840 and 89,559

Step by Step Solution

1. Step 1: Write the proportion equation
   42,840 : 89,559 = 89,559 : x
2. Step 2: Convert to fraction form
   42,840/89,559 = 89,559/x
3. Step 3: Cross multiply
   42,840x = 89,559 × 89,559
4. Step 4: Simplify right side
   42,840x = 8,020,814,481
5. Step 5: Solve for x
   x = 8,020,814,481/42,840
6. Step 6: Final answer
   x = 187,227.23