Finding the Third Proportional to 42,442 and 92,188

Step by Step Solution

1. Step 1: Write the proportion equation
   42,442 : 92,188 = 92,188 : x
2. Step 2: Convert to fraction form
   42,442/92,188 = 92,188/x
3. Step 3: Cross multiply
   42,442x = 92,188 × 92,188
4. Step 4: Simplify right side
   42,442x = 8,498,627,344
5. Step 5: Solve for x
   x = 8,498,627,344/42,442
6. Step 6: Final answer
   x = 200,240.97