Finding the Third Proportional to 830,998 and 1,786,123

Step by Step Solution

1. Step 1: Write the proportion equation
   830,998 : 1,786,123 = 1,786,123 : x
2. Step 2: Convert to fraction form
   830,998/1,786,123 = 1,786,123/x
3. Step 3: Cross multiply
   830,998x = 1,786,123 × 1,786,123
4. Step 4: Simplify right side
   830,998x = 3,190,235,371,129
5. Step 5: Solve for x
   x = 3,190,235,371,129/830,998
6. Step 6: Final answer
   x = 3,839,040.97