Finding the Third Proportional to 42,112 and 91,648

Step by Step Solution

1. Step 1: Write the proportion equation
   42,112 : 91,648 = 91,648 : x
2. Step 2: Convert to fraction form
   42,112/91,648 = 91,648/x
3. Step 3: Cross multiply
   42,112x = 91,648 × 91,648
4. Step 4: Simplify right side
   42,112x = 8,399,355,904
5. Step 5: Solve for x
   x = 8,399,355,904/42,112
6. Step 6: Final answer
   x = 199,452.79