Finding the Third Proportional to 356,958 and 776,123

Step by Step Solution

1. Step 1: Write the proportion equation
   356,958 : 776,123 = 776,123 : x
2. Step 2: Convert to fraction form
   356,958/776,123 = 776,123/x
3. Step 3: Cross multiply
   356,958x = 776,123 × 776,123
4. Step 4: Simplify right side
   356,958x = 602,366,911,129
5. Step 5: Solve for x
   x = 602,366,911,129/356,958
6. Step 6: Final answer
   x = 1,687,500.80