Finding the Third Proportional to 401,727 and 571,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,727 : 571,114.50 = 571,114.50 : x
2. Step 2: Convert to fraction form
   401,727/571,114.50 = 571,114.50/x
3. Step 3: Cross multiply
   401,727x = 571,114.50 × 571,114.50
4. Step 4: Simplify right side
   401,727x = 326,171,772,110.25
5. Step 5: Solve for x
   x = 326,171,772,110.25/401,727
6. Step 6: Final answer
   x = 811,923.95