Finding the Third Proportional to 384,521 and 582,507

Step by Step Solution

1. Step 1: Write the proportion equation
   384,521 : 582,507 = 582,507 : x
2. Step 2: Convert to fraction form
   384,521/582,507 = 582,507/x
3. Step 3: Cross multiply
   384,521x = 582,507 × 582,507
4. Step 4: Simplify right side
   384,521x = 339,314,405,049
5. Step 5: Solve for x
   x = 339,314,405,049/384,521
6. Step 6: Final answer
   x = 882,434.00