Finding the Third Proportional to 42,774 and 89,436

Step by Step Solution

1. Step 1: Write the proportion equation
   42,774 : 89,436 = 89,436 : x
2. Step 2: Convert to fraction form
   42,774/89,436 = 89,436/x
3. Step 3: Cross multiply
   42,774x = 89,436 × 89,436
4. Step 4: Simplify right side
   42,774x = 7,998,798,096
5. Step 5: Solve for x
   x = 7,998,798,096/42,774
6. Step 6: Final answer
   x = 187,001.40