Finding the Third Proportional to 105,464 and 229,168

Step by Step Solution

1. Step 1: Write the proportion equation
   105,464 : 229,168 = 229,168 : x
2. Step 2: Convert to fraction form
   105,464/229,168 = 229,168/x
3. Step 3: Cross multiply
   105,464x = 229,168 × 229,168
4. Step 4: Simplify right side
   105,464x = 52,517,972,224
5. Step 5: Solve for x
   x = 52,517,972,224/105,464
6. Step 6: Final answer
   x = 497,970.61