Finding the Third Proportional to 46,919 and 101,002

Step by Step Solution

1. Step 1: Write the proportion equation
   46,919 : 101,002 = 101,002 : x
2. Step 2: Convert to fraction form
   46,919/101,002 = 101,002/x
3. Step 3: Cross multiply
   46,919x = 101,002 × 101,002
4. Step 4: Simplify right side
   46,919x = 10,201,404,004
5. Step 5: Solve for x
   x = 10,201,404,004/46,919
6. Step 6: Final answer
   x = 217,425.86