Finding the Third Proportional to 64,741 and 133,978

Step by Step Solution

1. Step 1: Write the proportion equation
   64,741 : 133,978 = 133,978 : x
2. Step 2: Convert to fraction form
   64,741/133,978 = 133,978/x
3. Step 3: Cross multiply
   64,741x = 133,978 × 133,978
4. Step 4: Simplify right side
   64,741x = 17,950,104,484
5. Step 5: Solve for x
   x = 17,950,104,484/64,741
6. Step 6: Final answer
   x = 277,260.23