Finding the Third Proportional to 323,757 and 686,966.06

Step by Step Solution

1. Step 1: Write the proportion equation
   323,757 : 686,966.06 = 686,966.06 : x
2. Step 2: Convert to fraction form
   323,757/686,966.06 = 686,966.06/x
3. Step 3: Cross multiply
   323,757x = 686,966.06 × 686,966.06
4. Step 4: Simplify right side
   323,757x = 471,922,371,026.75
5. Step 5: Solve for x
   x = 471,922,371,026.75/323,757
6. Step 6: Final answer
   x = 1,457,643.76