Finding the Third Proportional to 42,544 and 92,460

Step by Step Solution

1. Step 1: Write the proportion equation
   42,544 : 92,460 = 92,460 : x
2. Step 2: Convert to fraction form
   42,544/92,460 = 92,460/x
3. Step 3: Cross multiply
   42,544x = 92,460 × 92,460
4. Step 4: Simplify right side
   42,544x = 8,548,851,600
5. Step 5: Solve for x
   x = 8,548,851,600/42,544
6. Step 6: Final answer
   x = 200,941.42