Finding the Third Proportional to 413,031 and 581,620.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,031 : 581,620.50 = 581,620.50 : x
2. Step 2: Convert to fraction form
   413,031/581,620.50 = 581,620.50/x
3. Step 3: Cross multiply
   413,031x = 581,620.50 × 581,620.50
4. Step 4: Simplify right side
   413,031x = 338,282,406,020.25
5. Step 5: Solve for x
   x = 338,282,406,020.25/413,031
6. Step 6: Final answer
   x = 819,024.25