Finding the Third Proportional to 140,311 and 307,786

Step by Step Solution

1. Step 1: Write the proportion equation
   140,311 : 307,786 = 307,786 : x
2. Step 2: Convert to fraction form
   140,311/307,786 = 307,786/x
3. Step 3: Cross multiply
   140,311x = 307,786 × 307,786
4. Step 4: Simplify right side
   140,311x = 94,732,221,796
5. Step 5: Solve for x
   x = 94,732,221,796/140,311
6. Step 6: Final answer
   x = 675,158.91