Finding the Third Proportional to 140,414 and 304,642

Step by Step Solution

1. Step 1: Write the proportion equation
   140,414 : 304,642 = 304,642 : x
2. Step 2: Convert to fraction form
   140,414/304,642 = 304,642/x
3. Step 3: Cross multiply
   140,414x = 304,642 × 304,642
4. Step 4: Simplify right side
   140,414x = 92,806,748,164
5. Step 5: Solve for x
   x = 92,806,748,164/140,414
6. Step 6: Final answer
   x = 660,950.82