Finding the Third Proportional to 532,108 and 826,142

Step by Step Solution

1. Step 1: Write the proportion equation
   532,108 : 826,142 = 826,142 : x
2. Step 2: Convert to fraction form
   532,108/826,142 = 826,142/x
3. Step 3: Cross multiply
   532,108x = 826,142 × 826,142
4. Step 4: Simplify right side
   532,108x = 682,510,604,164
5. Step 5: Solve for x
   x = 682,510,604,164/532,108
6. Step 6: Final answer
   x = 1,282,654.28