Finding the Third Proportional to 765,096 and 1,647,264

Step by Step Solution

1. Step 1: Write the proportion equation
   765,096 : 1,647,264 = 1,647,264 : x
2. Step 2: Convert to fraction form
   765,096/1,647,264 = 1,647,264/x
3. Step 3: Cross multiply
   765,096x = 1,647,264 × 1,647,264
4. Step 4: Simplify right side
   765,096x = 2,713,478,685,696
5. Step 5: Solve for x
   x = 2,713,478,685,696/765,096
6. Step 6: Final answer
   x = 3,546,585.90