Finding the Third Proportional to 46,338 and 101,697

Step by Step Solution

1. Step 1: Write the proportion equation
   46,338 : 101,697 = 101,697 : x
2. Step 2: Convert to fraction form
   46,338/101,697 = 101,697/x
3. Step 3: Cross multiply
   46,338x = 101,697 × 101,697
4. Step 4: Simplify right side
   46,338x = 10,342,279,809
5. Step 5: Solve for x
   x = 10,342,279,809/46,338
6. Step 6: Final answer
   x = 223,192.19