Finding the Third Proportional to 402,858 and 582,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,858 : 582,601.50 = 582,601.50 : x
2. Step 2: Convert to fraction form
   402,858/582,601.50 = 582,601.50/x
3. Step 3: Cross multiply
   402,858x = 582,601.50 × 582,601.50
4. Step 4: Simplify right side
   402,858x = 339,424,507,802.25
5. Step 5: Solve for x
   x = 339,424,507,802.25/402,858
6. Step 6: Final answer
   x = 842,541.31