Finding the Third Proportional to 403,096.50 and 582,705

Step by Step Solution

1. Step 1: Write the proportion equation
   403,096.50 : 582,705 = 582,705 : x
2. Step 2: Convert to fraction form
   403,096.50/582,705 = 582,705/x
3. Step 3: Cross multiply
   403,096.50x = 582,705 × 582,705
4. Step 4: Simplify right side
   403,096.50x = 339,545,117,025
5. Step 5: Solve for x
   x = 339,545,117,025/403,096.50
6. Step 6: Final answer
   x = 842,342.01