Finding the Third Proportional to 71,740 and 141,644

Step by Step Solution

1. Step 1: Write the proportion equation
   71,740 : 141,644 = 141,644 : x
2. Step 2: Convert to fraction form
   71,740/141,644 = 141,644/x
3. Step 3: Cross multiply
   71,740x = 141,644 × 141,644
4. Step 4: Simplify right side
   71,740x = 20,063,022,736
5. Step 5: Solve for x
   x = 20,063,022,736/71,740
6. Step 6: Final answer
   x = 279,662.99