Finding the Third Proportional to 381,618 and 560,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,618 : 560,758.50 = 560,758.50 : x
2. Step 2: Convert to fraction form
   381,618/560,758.50 = 560,758.50/x
3. Step 3: Cross multiply
   381,618x = 560,758.50 × 560,758.50
4. Step 4: Simplify right side
   381,618x = 314,450,095,322.25
5. Step 5: Solve for x
   x = 314,450,095,322.25/381,618
6. Step 6: Final answer
   x = 823,991.78