Finding the Third Proportional to 42,540 and 93,142

Step by Step Solution

1. Step 1: Write the proportion equation
   42,540 : 93,142 = 93,142 : x
2. Step 2: Convert to fraction form
   42,540/93,142 = 93,142/x
3. Step 3: Cross multiply
   42,540x = 93,142 × 93,142
4. Step 4: Simplify right side
   42,540x = 8,675,432,164
5. Step 5: Solve for x
   x = 8,675,432,164/42,540
6. Step 6: Final answer
   x = 203,935.88