Finding the Third Proportional to 46,748 and 101,422

Step by Step Solution

1. Step 1: Write the proportion equation
   46,748 : 101,422 = 101,422 : x
2. Step 2: Convert to fraction form
   46,748/101,422 = 101,422/x
3. Step 3: Cross multiply
   46,748x = 101,422 × 101,422
4. Step 4: Simplify right side
   46,748x = 10,286,422,084
5. Step 5: Solve for x
   x = 10,286,422,084/46,748
6. Step 6: Final answer
   x = 220,039.83