Finding the Third Proportional to 767,536 and 1,628,608

Step by Step Solution

1. Step 1: Write the proportion equation
   767,536 : 1,628,608 = 1,628,608 : x
2. Step 2: Convert to fraction form
   767,536/1,628,608 = 1,628,608/x
3. Step 3: Cross multiply
   767,536x = 1,628,608 × 1,628,608
4. Step 4: Simplify right side
   767,536x = 2,652,364,017,664
5. Step 5: Solve for x
   x = 2,652,364,017,664/767,536
6. Step 6: Final answer
   x = 3,455,686.79