Finding the Third Proportional to 42,466 and 92,314

Step by Step Solution

1. Step 1: Write the proportion equation
   42,466 : 92,314 = 92,314 : x
2. Step 2: Convert to fraction form
   42,466/92,314 = 92,314/x
3. Step 3: Cross multiply
   42,466x = 92,314 × 92,314
4. Step 4: Simplify right side
   42,466x = 8,521,874,596
5. Step 5: Solve for x
   x = 8,521,874,596/42,466
6. Step 6: Final answer
   x = 200,675.24