Finding the Third Proportional to 307,456 and 392,856

Step by Step Solution

1. Step 1: Write the proportion equation
   307,456 : 392,856 = 392,856 : x
2. Step 2: Convert to fraction form
   307,456/392,856 = 392,856/x
3. Step 3: Cross multiply
   307,456x = 392,856 × 392,856
4. Step 4: Simplify right side
   307,456x = 154,335,836,736
5. Step 5: Solve for x
   x = 154,335,836,736/307,456
6. Step 6: Final answer
   x = 501,976.99