Finding the Third Proportional to 213,275 and 493,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,275 : 493,735.50 = 493,735.50 : x
2. Step 2: Convert to fraction form
   213,275/493,735.50 = 493,735.50/x
3. Step 3: Cross multiply
   213,275x = 493,735.50 × 493,735.50
4. Step 4: Simplify right side
   213,275x = 243,774,743,960.25
5. Step 5: Solve for x
   x = 243,774,743,960.25/213,275
6. Step 6: Final answer
   x = 1,143,006.65