Finding the Third Proportional to 142,742 and 307,410

Step by Step Solution

1. Step 1: Write the proportion equation
   142,742 : 307,410 = 307,410 : x
2. Step 2: Convert to fraction form
   142,742/307,410 = 307,410/x
3. Step 3: Cross multiply
   142,742x = 307,410 × 307,410
4. Step 4: Simplify right side
   142,742x = 94,500,908,100
5. Step 5: Solve for x
   x = 94,500,908,100/142,742
6. Step 6: Final answer
   x = 662,039.96