Finding the Third Proportional to 356,574 and 783,123

Step by Step Solution

1. Step 1: Write the proportion equation
   356,574 : 783,123 = 783,123 : x
2. Step 2: Convert to fraction form
   356,574/783,123 = 783,123/x
3. Step 3: Cross multiply
   356,574x = 783,123 × 783,123
4. Step 4: Simplify right side
   356,574x = 613,281,633,129
5. Step 5: Solve for x
   x = 613,281,633,129/356,574
6. Step 6: Final answer
   x = 1,719,928.07