Finding the Third Proportional to 41,978 and 91,342

Step by Step Solution

1. Step 1: Write the proportion equation
   41,978 : 91,342 = 91,342 : x
2. Step 2: Convert to fraction form
   41,978/91,342 = 91,342/x
3. Step 3: Cross multiply
   41,978x = 91,342 × 91,342
4. Step 4: Simplify right side
   41,978x = 8,343,360,964
5. Step 5: Solve for x
   x = 8,343,360,964/41,978
6. Step 6: Final answer
   x = 198,755.56