Finding the Third Proportional to 46,464 and 101,216

Step by Step Solution

1. Step 1: Write the proportion equation
   46,464 : 101,216 = 101,216 : x
2. Step 2: Convert to fraction form
   46,464/101,216 = 101,216/x
3. Step 3: Cross multiply
   46,464x = 101,216 × 101,216
4. Step 4: Simplify right side
   46,464x = 10,244,678,656
5. Step 5: Solve for x
   x = 10,244,678,656/46,464
6. Step 6: Final answer
   x = 220,486.37