Finding the Third Proportional to 46,144 and 101,024

Step by Step Solution

1. Step 1: Write the proportion equation
   46,144 : 101,024 = 101,024 : x
2. Step 2: Convert to fraction form
   46,144/101,024 = 101,024/x
3. Step 3: Cross multiply
   46,144x = 101,024 × 101,024
4. Step 4: Simplify right side
   46,144x = 10,205,848,576
5. Step 5: Solve for x
   x = 10,205,848,576/46,144
6. Step 6: Final answer
   x = 221,173.90