Finding the Third Proportional to 142,884 and 309,825

Step by Step Solution

1. Step 1: Write the proportion equation
   142,884 : 309,825 = 309,825 : x
2. Step 2: Convert to fraction form
   142,884/309,825 = 309,825/x
3. Step 3: Cross multiply
   142,884x = 309,825 × 309,825
4. Step 4: Simplify right side
   142,884x = 95,991,530,625
5. Step 5: Solve for x
   x = 95,991,530,625/142,884
6. Step 6: Final answer
   x = 671,814.41