Finding the Third Proportional to 578,298 and 864,116

Step by Step Solution

1. Step 1: Write the proportion equation
   578,298 : 864,116 = 864,116 : x
2. Step 2: Convert to fraction form
   578,298/864,116 = 864,116/x
3. Step 3: Cross multiply
   578,298x = 864,116 × 864,116
4. Step 4: Simplify right side
   578,298x = 746,696,461,456
5. Step 5: Solve for x
   x = 746,696,461,456/578,298
6. Step 6: Final answer
   x = 1,291,196.69