Finding the Third Proportional to 71,942 and 146,740

Step by Step Solution

1. Step 1: Write the proportion equation
   71,942 : 146,740 = 146,740 : x
2. Step 2: Convert to fraction form
   71,942/146,740 = 146,740/x
3. Step 3: Cross multiply
   71,942x = 146,740 × 146,740
4. Step 4: Simplify right side
   71,942x = 21,532,627,600
5. Step 5: Solve for x
   x = 21,532,627,600/71,942
6. Step 6: Final answer
   x = 299,305.38