Finding the Third Proportional to 401,706 and 533,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,706 : 533,119.50 = 533,119.50 : x
2. Step 2: Convert to fraction form
   401,706/533,119.50 = 533,119.50/x
3. Step 3: Cross multiply
   401,706x = 533,119.50 × 533,119.50
4. Step 4: Simplify right side
   401,706x = 284,216,401,280.25
5. Step 5: Solve for x
   x = 284,216,401,280.25/401,706
6. Step 6: Final answer
   x = 707,523.42