Finding the Third Proportional to 142,534 and 309,876

Step by Step Solution

1. Step 1: Write the proportion equation
   142,534 : 309,876 = 309,876 : x
2. Step 2: Convert to fraction form
   142,534/309,876 = 309,876/x
3. Step 3: Cross multiply
   142,534x = 309,876 × 309,876
4. Step 4: Simplify right side
   142,534x = 96,023,135,376
5. Step 5: Solve for x
   x = 96,023,135,376/142,534
6. Step 6: Final answer
   x = 673,685.82