Finding the Third Proportional to 46,184 and 101,144

Step by Step Solution

1. Step 1: Write the proportion equation
   46,184 : 101,144 = 101,144 : x
2. Step 2: Convert to fraction form
   46,184/101,144 = 101,144/x
3. Step 3: Cross multiply
   46,184x = 101,144 × 101,144
4. Step 4: Simplify right side
   46,184x = 10,230,108,736
5. Step 5: Solve for x
   x = 10,230,108,736/46,184
6. Step 6: Final answer
   x = 221,507.64