Finding the Third Proportional to 401,080.50 and 871,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,080.50 : 871,321.50 = 871,321.50 : x
2. Step 2: Convert to fraction form
   401,080.50/871,321.50 = 871,321.50/x
3. Step 3: Cross multiply
   401,080.50x = 871,321.50 × 871,321.50
4. Step 4: Simplify right side
   401,080.50x = 759,201,156,362.25
5. Step 5: Solve for x
   x = 759,201,156,362.25/401,080.50
6. Step 6: Final answer
   x = 1,892,889.72