Finding the Third Proportional to 46,338 and 101,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,338 : 101,698.50 = 101,698.50 : x
2. Step 2: Convert to fraction form
   46,338/101,698.50 = 101,698.50/x
3. Step 3: Cross multiply
   46,338x = 101,698.50 × 101,698.50
4. Step 4: Simplify right side
   46,338x = 10,342,584,902.25
5. Step 5: Solve for x
   x = 10,342,584,902.25/46,338
6. Step 6: Final answer
   x = 223,198.78