Finding the Third Proportional to 756,684 and 1,261,142

Step by Step Solution

1. Step 1: Write the proportion equation
   756,684 : 1,261,142 = 1,261,142 : x
2. Step 2: Convert to fraction form
   756,684/1,261,142 = 1,261,142/x
3. Step 3: Cross multiply
   756,684x = 1,261,142 × 1,261,142
4. Step 4: Simplify right side
   756,684x = 1,590,479,144,164
5. Step 5: Solve for x
   x = 1,590,479,144,164/756,684
6. Step 6: Final answer
   x = 2,101,906.67