Finding the Third Proportional to 819,720 and 1,680,264

Step by Step Solution

1. Step 1: Write the proportion equation
   819,720 : 1,680,264 = 1,680,264 : x
2. Step 2: Convert to fraction form
   819,720/1,680,264 = 1,680,264/x
3. Step 3: Cross multiply
   819,720x = 1,680,264 × 1,680,264
4. Step 4: Simplify right side
   819,720x = 2,823,287,109,696
5. Step 5: Solve for x
   x = 2,823,287,109,696/819,720
6. Step 6: Final answer
   x = 3,444,209.13