Finding the Third Proportional to 42,456 and 92,282

Step by Step Solution

1. Step 1: Write the proportion equation
   42,456 : 92,282 = 92,282 : x
2. Step 2: Convert to fraction form
   42,456/92,282 = 92,282/x
3. Step 3: Cross multiply
   42,456x = 92,282 × 92,282
4. Step 4: Simplify right side
   42,456x = 8,515,967,524
5. Step 5: Solve for x
   x = 8,515,967,524/42,456
6. Step 6: Final answer
   x = 200,583.37