Finding the Third Proportional to 142,400 and 303,205

Step by Step Solution

1. Step 1: Write the proportion equation
   142,400 : 303,205 = 303,205 : x
2. Step 2: Convert to fraction form
   142,400/303,205 = 303,205/x
3. Step 3: Cross multiply
   142,400x = 303,205 × 303,205
4. Step 4: Simplify right side
   142,400x = 91,933,272,025
5. Step 5: Solve for x
   x = 91,933,272,025/142,400
6. Step 6: Final answer
   x = 645,598.82