Finding the Third Proportional to 42,438 and 89,142

Step by Step Solution

1. Step 1: Write the proportion equation
   42,438 : 89,142 = 89,142 : x
2. Step 2: Convert to fraction form
   42,438/89,142 = 89,142/x
3. Step 3: Cross multiply
   42,438x = 89,142 × 89,142
4. Step 4: Simplify right side
   42,438x = 7,946,296,164
5. Step 5: Solve for x
   x = 7,946,296,164/42,438
6. Step 6: Final answer
   x = 187,244.83