Finding the Third Proportional to 153,746 and 333,736

Step by Step Solution

1. Step 1: Write the proportion equation
   153,746 : 333,736 = 333,736 : x
2. Step 2: Convert to fraction form
   153,746/333,736 = 333,736/x
3. Step 3: Cross multiply
   153,746x = 333,736 × 333,736
4. Step 4: Simplify right side
   153,746x = 111,379,717,696
5. Step 5: Solve for x
   x = 111,379,717,696/153,746
6. Step 6: Final answer
   x = 724,439.78