Finding the Third Proportional to 64,741 and 141,491

Step by Step Solution

1. Step 1: Write the proportion equation
   64,741 : 141,491 = 141,491 : x
2. Step 2: Convert to fraction form
   64,741/141,491 = 141,491/x
3. Step 3: Cross multiply
   64,741x = 141,491 × 141,491
4. Step 4: Simplify right side
   64,741x = 20,019,703,081
5. Step 5: Solve for x
   x = 20,019,703,081/64,741
6. Step 6: Final answer
   x = 309,227.59