Finding the Third Proportional to 142,738 and 307,400

Step by Step Solution

1. Step 1: Write the proportion equation
   142,738 : 307,400 = 307,400 : x
2. Step 2: Convert to fraction form
   142,738/307,400 = 307,400/x
3. Step 3: Cross multiply
   142,738x = 307,400 × 307,400
4. Step 4: Simplify right side
   142,738x = 94,494,760,000
5. Step 5: Solve for x
   x = 94,494,760,000/142,738
6. Step 6: Final answer
   x = 662,015.44