Finding the Third Proportional to 46,502 and 101,698

Step by Step Solution

1. Step 1: Write the proportion equation
   46,502 : 101,698 = 101,698 : x
2. Step 2: Convert to fraction form
   46,502/101,698 = 101,698/x
3. Step 3: Cross multiply
   46,502x = 101,698 × 101,698
4. Step 4: Simplify right side
   46,502x = 10,342,483,204
5. Step 5: Solve for x
   x = 10,342,483,204/46,502
6. Step 6: Final answer
   x = 222,409.43