Finding the Third Proportional to 46,864 and 101,222

Step by Step Solution

1. Step 1: Write the proportion equation
   46,864 : 101,222 = 101,222 : x
2. Step 2: Convert to fraction form
   46,864/101,222 = 101,222/x
3. Step 3: Cross multiply
   46,864x = 101,222 × 101,222
4. Step 4: Simplify right side
   46,864x = 10,245,893,284
5. Step 5: Solve for x
   x = 10,245,893,284/46,864
6. Step 6: Final answer
   x = 218,630.36