Finding the Third Proportional to 582,633 and 871,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   582,633 : 871,519.50 = 871,519.50 : x
2. Step 2: Convert to fraction form
   582,633/871,519.50 = 871,519.50/x
3. Step 3: Cross multiply
   582,633x = 871,519.50 × 871,519.50
4. Step 4: Simplify right side
   582,633x = 759,546,238,880.25
5. Step 5: Solve for x
   x = 759,546,238,880.25/582,633
6. Step 6: Final answer
   x = 1,303,644.38