Finding the Third Proportional to 323,810 and 687,082

Step by Step Solution

1. Step 1: Write the proportion equation
   323,810 : 687,082 = 687,082 : x
2. Step 2: Convert to fraction form
   323,810/687,082 = 687,082/x
3. Step 3: Cross multiply
   323,810x = 687,082 × 687,082
4. Step 4: Simplify right side
   323,810x = 472,081,674,724
5. Step 5: Solve for x
   x = 472,081,674,724/323,810
6. Step 6: Final answer
   x = 1,457,897.15