Finding the Third Proportional to 140,238 and 308,523

Step by Step Solution

1. Step 1: Write the proportion equation
   140,238 : 308,523 = 308,523 : x
2. Step 2: Convert to fraction form
   140,238/308,523 = 308,523/x
3. Step 3: Cross multiply
   140,238x = 308,523 × 308,523
4. Step 4: Simplify right side
   140,238x = 95,186,441,529
5. Step 5: Solve for x
   x = 95,186,441,529/140,238
6. Step 6: Final answer
   x = 678,749.28