Finding the Third Proportional to 46,809 and 101,942

Step by Step Solution

1. Step 1: Write the proportion equation
   46,809 : 101,942 = 101,942 : x
2. Step 2: Convert to fraction form
   46,809/101,942 = 101,942/x
3. Step 3: Cross multiply
   46,809x = 101,942 × 101,942
4. Step 4: Simplify right side
   46,809x = 10,392,171,364
5. Step 5: Solve for x
   x = 10,392,171,364/46,809
6. Step 6: Final answer
   x = 222,012.25