Finding the Third Proportional to 403,128 and 582,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   403,128 : 582,736.50 = 582,736.50 : x
2. Step 2: Convert to fraction form
   403,128/582,736.50 = 582,736.50/x
3. Step 3: Cross multiply
   403,128x = 582,736.50 × 582,736.50
4. Step 4: Simplify right side
   403,128x = 339,581,828,432.25
5. Step 5: Solve for x
   x = 339,581,828,432.25/403,128
6. Step 6: Final answer
   x = 842,367.26