Finding the Third Proportional to 42,832 and 92,288

Step by Step Solution

1. Step 1: Write the proportion equation
   42,832 : 92,288 = 92,288 : x
2. Step 2: Convert to fraction form
   42,832/92,288 = 92,288/x
3. Step 3: Cross multiply
   42,832x = 92,288 × 92,288
4. Step 4: Simplify right side
   42,832x = 8,517,074,944
5. Step 5: Solve for x
   x = 8,517,074,944/42,832
6. Step 6: Final answer
   x = 198,848.41