Finding the Third Proportional to 46,196 and 101,224

Step by Step Solution

1. Step 1: Write the proportion equation
   46,196 : 101,224 = 101,224 : x
2. Step 2: Convert to fraction form
   46,196/101,224 = 101,224/x
3. Step 3: Cross multiply
   46,196x = 101,224 × 101,224
4. Step 4: Simplify right side
   46,196x = 10,246,298,176
5. Step 5: Solve for x
   x = 10,246,298,176/46,196
6. Step 6: Final answer
   x = 221,800.55