Finding the Third Proportional to 111,864 and 146,736

Step by Step Solution

1. Step 1: Write the proportion equation
   111,864 : 146,736 = 146,736 : x
2. Step 2: Convert to fraction form
   111,864/146,736 = 146,736/x
3. Step 3: Cross multiply
   111,864x = 146,736 × 146,736
4. Step 4: Simplify right side
   111,864x = 21,531,453,696
5. Step 5: Solve for x
   x = 21,531,453,696/111,864
6. Step 6: Final answer
   x = 192,478.85