Finding the Third Proportional to 46,518 and 103,422

Step by Step Solution

1. Step 1: Write the proportion equation
   46,518 : 103,422 = 103,422 : x
2. Step 2: Convert to fraction form
   46,518/103,422 = 103,422/x
3. Step 3: Cross multiply
   46,518x = 103,422 × 103,422
4. Step 4: Simplify right side
   46,518x = 10,696,110,084
5. Step 5: Solve for x
   x = 10,696,110,084/46,518
6. Step 6: Final answer
   x = 229,934.87