Finding the Third Proportional to 689,256 and 1,029,753

Step by Step Solution

1. Step 1: Write the proportion equation
   689,256 : 1,029,753 = 1,029,753 : x
2. Step 2: Convert to fraction form
   689,256/1,029,753 = 1,029,753/x
3. Step 3: Cross multiply
   689,256x = 1,029,753 × 1,029,753
4. Step 4: Simplify right side
   689,256x = 1,060,391,241,009
5. Step 5: Solve for x
   x = 1,060,391,241,009/689,256
6. Step 6: Final answer
   x = 1,538,457.76