Finding the Third Proportional to 262,953 and 390,379.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,953 : 390,379.50 = 390,379.50 : x
2. Step 2: Convert to fraction form
   262,953/390,379.50 = 390,379.50/x
3. Step 3: Cross multiply
   262,953x = 390,379.50 × 390,379.50
4. Step 4: Simplify right side
   262,953x = 152,396,154,020.25
5. Step 5: Solve for x
   x = 152,396,154,020.25/262,953
6. Step 6: Final answer
   x = 579,556.63