Finding the Third Proportional to 222,783 and 296,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   222,783 : 296,965.50 = 296,965.50 : x
2. Step 2: Convert to fraction form
   222,783/296,965.50 = 296,965.50/x
3. Step 3: Cross multiply
   222,783x = 296,965.50 × 296,965.50
4. Step 4: Simplify right side
   222,783x = 88,188,508,190.25
5. Step 5: Solve for x
   x = 88,188,508,190.25/222,783
6. Step 6: Final answer
   x = 395,849.36