Finding the Third Proportional to 688,128 and 1,403,904

Step by Step Solution

1. Step 1: Write the proportion equation
   688,128 : 1,403,904 = 1,403,904 : x
2. Step 2: Convert to fraction form
   688,128/1,403,904 = 1,403,904/x
3. Step 3: Cross multiply
   688,128x = 1,403,904 × 1,403,904
4. Step 4: Simplify right side
   688,128x = 1,970,946,441,216
5. Step 5: Solve for x
   x = 1,970,946,441,216/688,128
6. Step 6: Final answer
   x = 2,864,214.86