Finding the Third Proportional to 105,152 and 228,736

Step by Step Solution

1. Step 1: Write the proportion equation
   105,152 : 228,736 = 228,736 : x
2. Step 2: Convert to fraction form
   105,152/228,736 = 228,736/x
3. Step 3: Cross multiply
   105,152x = 228,736 × 228,736
4. Step 4: Simplify right side
   105,152x = 52,320,157,696
5. Step 5: Solve for x
   x = 52,320,157,696/105,152
6. Step 6: Final answer
   x = 497,566.93