Finding the Third Proportional to 42,848 and 92,824

Step by Step Solution

1. Step 1: Write the proportion equation
   42,848 : 92,824 = 92,824 : x
2. Step 2: Convert to fraction form
   42,848/92,824 = 92,824/x
3. Step 3: Cross multiply
   42,848x = 92,824 × 92,824
4. Step 4: Simplify right side
   42,848x = 8,616,294,976
5. Step 5: Solve for x
   x = 8,616,294,976/42,848
6. Step 6: Final answer
   x = 201,089.78