Finding the Third Proportional to 46,864 and 101,109

Step by Step Solution

1. Step 1: Write the proportion equation
   46,864 : 101,109 = 101,109 : x
2. Step 2: Convert to fraction form
   46,864/101,109 = 101,109/x
3. Step 3: Cross multiply
   46,864x = 101,109 × 101,109
4. Step 4: Simplify right side
   46,864x = 10,223,029,881
5. Step 5: Solve for x
   x = 10,223,029,881/46,864
6. Step 6: Final answer
   x = 218,142.49