Finding the Third Proportional to 64,969 and 146,741

Step by Step Solution

1. Step 1: Write the proportion equation
   64,969 : 146,741 = 146,741 : x
2. Step 2: Convert to fraction form
   64,969/146,741 = 146,741/x
3. Step 3: Cross multiply
   64,969x = 146,741 × 146,741
4. Step 4: Simplify right side
   64,969x = 21,532,921,081
5. Step 5: Solve for x
   x = 21,532,921,081/64,969
6. Step 6: Final answer
   x = 331,433.78