Finding the Third Proportional to 775,536 and 1,164,123

Step by Step Solution

1. Step 1: Write the proportion equation
   775,536 : 1,164,123 = 1,164,123 : x
2. Step 2: Convert to fraction form
   775,536/1,164,123 = 1,164,123/x
3. Step 3: Cross multiply
   775,536x = 1,164,123 × 1,164,123
4. Step 4: Simplify right side
   775,536x = 1,355,182,359,129
5. Step 5: Solve for x
   x = 1,355,182,359,129/775,536
6. Step 6: Final answer
   x = 1,747,413.86