Finding the Third Proportional to 140,240 and 307,696

Step by Step Solution

1. Step 1: Write the proportion equation
   140,240 : 307,696 = 307,696 : x
2. Step 2: Convert to fraction form
   140,240/307,696 = 307,696/x
3. Step 3: Cross multiply
   140,240x = 307,696 × 307,696
4. Step 4: Simplify right side
   140,240x = 94,676,828,416
5. Step 5: Solve for x
   x = 94,676,828,416/140,240
6. Step 6: Final answer
   x = 675,105.74