Finding the Third Proportional to 140,416 and 309,296

Step by Step Solution

1. Step 1: Write the proportion equation
   140,416 : 309,296 = 309,296 : x
2. Step 2: Convert to fraction form
   140,416/309,296 = 309,296/x
3. Step 3: Cross multiply
   140,416x = 309,296 × 309,296
4. Step 4: Simplify right side
   140,416x = 95,664,015,616
5. Step 5: Solve for x
   x = 95,664,015,616/140,416
6. Step 6: Final answer
   x = 681,289.99