Finding the Third Proportional to 155,769 and 333,894

Step by Step Solution

1. Step 1: Write the proportion equation
   155,769 : 333,894 = 333,894 : x
2. Step 2: Convert to fraction form
   155,769/333,894 = 333,894/x
3. Step 3: Cross multiply
   155,769x = 333,894 × 333,894
4. Step 4: Simplify right side
   155,769x = 111,485,203,236
5. Step 5: Solve for x
   x = 111,485,203,236/155,769
6. Step 6: Final answer
   x = 715,708.54