Finding the Third Proportional to 42,454 and 92,280

Step by Step Solution

1. Step 1: Write the proportion equation
   42,454 : 92,280 = 92,280 : x
2. Step 2: Convert to fraction form
   42,454/92,280 = 92,280/x
3. Step 3: Cross multiply
   42,454x = 92,280 × 92,280
4. Step 4: Simplify right side
   42,454x = 8,515,598,400
5. Step 5: Solve for x
   x = 8,515,598,400/42,454
6. Step 6: Final answer
   x = 200,584.12