Finding the Third Proportional to 766,282 and 1,642,664

Step by Step Solution

1. Step 1: Write the proportion equation
   766,282 : 1,642,664 = 1,642,664 : x
2. Step 2: Convert to fraction form
   766,282/1,642,664 = 1,642,664/x
3. Step 3: Cross multiply
   766,282x = 1,642,664 × 1,642,664
4. Step 4: Simplify right side
   766,282x = 2,698,345,016,896
5. Step 5: Solve for x
   x = 2,698,345,016,896/766,282
6. Step 6: Final answer
   x = 3,521,347.25