Finding the Third Proportional to 49,331 and 106,978

Step by Step Solution

1. Step 1: Write the proportion equation
   49,331 : 106,978 = 106,978 : x
2. Step 2: Convert to fraction form
   49,331/106,978 = 106,978/x
3. Step 3: Cross multiply
   49,331x = 106,978 × 106,978
4. Step 4: Simplify right side
   49,331x = 11,444,292,484
5. Step 5: Solve for x
   x = 11,444,292,484/49,331
6. Step 6: Final answer
   x = 231,989.87