Finding the Third Proportional to 42,663 and 91,644

Step by Step Solution

1. Step 1: Write the proportion equation
   42,663 : 91,644 = 91,644 : x
2. Step 2: Convert to fraction form
   42,663/91,644 = 91,644/x
3. Step 3: Cross multiply
   42,663x = 91,644 × 91,644
4. Step 4: Simplify right side
   42,663x = 8,398,622,736
5. Step 5: Solve for x
   x = 8,398,622,736/42,663
6. Step 6: Final answer
   x = 196,859.64