Finding the Third Proportional to 140,004 and 307,233

Step by Step Solution

1. Step 1: Write the proportion equation
   140,004 : 307,233 = 307,233 : x
2. Step 2: Convert to fraction form
   140,004/307,233 = 307,233/x
3. Step 3: Cross multiply
   140,004x = 307,233 × 307,233
4. Step 4: Simplify right side
   140,004x = 94,392,116,289
5. Step 5: Solve for x
   x = 94,392,116,289/140,004
6. Step 6: Final answer
   x = 674,210.14