Finding the Third Proportional to 140,434 and 307,141

Step by Step Solution

1. Step 1: Write the proportion equation
   140,434 : 307,141 = 307,141 : x
2. Step 2: Convert to fraction form
   140,434/307,141 = 307,141/x
3. Step 3: Cross multiply
   140,434x = 307,141 × 307,141
4. Step 4: Simplify right side
   140,434x = 94,335,593,881
5. Step 5: Solve for x
   x = 94,335,593,881/140,434
6. Step 6: Final answer
   x = 671,743.27