Finding the Third Proportional to 757,577 and 1,683,314

Step by Step Solution

1. Step 1: Write the proportion equation
   757,577 : 1,683,314 = 1,683,314 : x
2. Step 2: Convert to fraction form
   757,577/1,683,314 = 1,683,314/x
3. Step 3: Cross multiply
   757,577x = 1,683,314 × 1,683,314
4. Step 4: Simplify right side
   757,577x = 2,833,546,022,596
5. Step 5: Solve for x
   x = 2,833,546,022,596/757,577
6. Step 6: Final answer
   x = 3,740,274.62