Finding the Third Proportional to 42,382 and 92,048

Step by Step Solution

1. Step 1: Write the proportion equation
   42,382 : 92,048 = 92,048 : x
2. Step 2: Convert to fraction form
   42,382/92,048 = 92,048/x
3. Step 3: Cross multiply
   42,382x = 92,048 × 92,048
4. Step 4: Simplify right side
   42,382x = 8,472,834,304
5. Step 5: Solve for x
   x = 8,472,834,304/42,382
6. Step 6: Final answer
   x = 199,915.87