Finding the Third Proportional to 140,854 and 309,356

Step by Step Solution

1. Step 1: Write the proportion equation
   140,854 : 309,356 = 309,356 : x
2. Step 2: Convert to fraction form
   140,854/309,356 = 309,356/x
3. Step 3: Cross multiply
   140,854x = 309,356 × 309,356
4. Step 4: Simplify right side
   140,854x = 95,701,134,736
5. Step 5: Solve for x
   x = 95,701,134,736/140,854
6. Step 6: Final answer
   x = 679,434.98