Finding the Third Proportional to 46,492 and 109,738

Step by Step Solution

1. Step 1: Write the proportion equation
   46,492 : 109,738 = 109,738 : x
2. Step 2: Convert to fraction form
   46,492/109,738 = 109,738/x
3. Step 3: Cross multiply
   46,492x = 109,738 × 109,738
4. Step 4: Simplify right side
   46,492x = 12,042,428,644
5. Step 5: Solve for x
   x = 12,042,428,644/46,492
6. Step 6: Final answer
   x = 259,021.52