Finding the Third Proportional to 383,269 and 806,264

Step by Step Solution

1. Step 1: Write the proportion equation
   383,269 : 806,264 = 806,264 : x
2. Step 2: Convert to fraction form
   383,269/806,264 = 806,264/x
3. Step 3: Cross multiply
   383,269x = 806,264 × 806,264
4. Step 4: Simplify right side
   383,269x = 650,061,637,696
5. Step 5: Solve for x
   x = 650,061,637,696/383,269
6. Step 6: Final answer
   x = 1,696,097.62