Finding the Third Proportional to 772,380 and 1,682,064

Step by Step Solution

1. Step 1: Write the proportion equation
   772,380 : 1,682,064 = 1,682,064 : x
2. Step 2: Convert to fraction form
   772,380/1,682,064 = 1,682,064/x
3. Step 3: Cross multiply
   772,380x = 1,682,064 × 1,682,064
4. Step 4: Simplify right side
   772,380x = 2,829,339,300,096
5. Step 5: Solve for x
   x = 2,829,339,300,096/772,380
6. Step 6: Final answer
   x = 3,663,144.18