Finding the Third Proportional to 71,998 and 101,345

Step by Step Solution

1. Step 1: Write the proportion equation
   71,998 : 101,345 = 101,345 : x
2. Step 2: Convert to fraction form
   71,998/101,345 = 101,345/x
3. Step 3: Cross multiply
   71,998x = 101,345 × 101,345
4. Step 4: Simplify right side
   71,998x = 10,270,809,025
5. Step 5: Solve for x
   x = 10,270,809,025/71,998
6. Step 6: Final answer
   x = 142,654.09