Finding the Third Proportional to 140,788 and 307,816

Step by Step Solution

1. Step 1: Write the proportion equation
   140,788 : 307,816 = 307,816 : x
2. Step 2: Convert to fraction form
   140,788/307,816 = 307,816/x
3. Step 3: Cross multiply
   140,788x = 307,816 × 307,816
4. Step 4: Simplify right side
   140,788x = 94,750,689,856
5. Step 5: Solve for x
   x = 94,750,689,856/140,788
6. Step 6: Final answer
   x = 673,002.60