Finding the Third Proportional to 684,751 and 1,064,503

Step by Step Solution

1. Step 1: Write the proportion equation
   684,751 : 1,064,503 = 1,064,503 : x
2. Step 2: Convert to fraction form
   684,751/1,064,503 = 1,064,503/x
3. Step 3: Cross multiply
   684,751x = 1,064,503 × 1,064,503
4. Step 4: Simplify right side
   684,751x = 1,133,166,637,009
5. Step 5: Solve for x
   x = 1,133,166,637,009/684,751
6. Step 6: Final answer
   x = 1,654,859.41