Finding the Third Proportional to 563,916 and 830,298

Step by Step Solution

1. Step 1: Write the proportion equation
   563,916 : 830,298 = 830,298 : x
2. Step 2: Convert to fraction form
   563,916/830,298 = 830,298/x
3. Step 3: Cross multiply
   563,916x = 830,298 × 830,298
4. Step 4: Simplify right side
   563,916x = 689,394,768,804
5. Step 5: Solve for x
   x = 689,394,768,804/563,916
6. Step 6: Final answer
   x = 1,222,513.23