Finding the Third Proportional to 263,202 and 393,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   263,202 : 393,046.50 = 393,046.50 : x
2. Step 2: Convert to fraction form
   263,202/393,046.50 = 393,046.50/x
3. Step 3: Cross multiply
   263,202x = 393,046.50 × 393,046.50
4. Step 4: Simplify right side
   263,202x = 154,485,551,162.25
5. Step 5: Solve for x
   x = 154,485,551,162.25/263,202
6. Step 6: Final answer
   x = 586,946.72