Finding the Third Proportional to 140,884 and 309,416

Step by Step Solution

1. Step 1: Write the proportion equation
   140,884 : 309,416 = 309,416 : x
2. Step 2: Convert to fraction form
   140,884/309,416 = 309,416/x
3. Step 3: Cross multiply
   140,884x = 309,416 × 309,416
4. Step 4: Simplify right side
   140,884x = 95,738,261,056
5. Step 5: Solve for x
   x = 95,738,261,056/140,884
6. Step 6: Final answer
   x = 679,553.82