Finding the Third Proportional to 366,114 and 788,406

Step by Step Solution

1. Step 1: Write the proportion equation
   366,114 : 788,406 = 788,406 : x
2. Step 2: Convert to fraction form
   366,114/788,406 = 788,406/x
3. Step 3: Cross multiply
   366,114x = 788,406 × 788,406
4. Step 4: Simplify right side
   366,114x = 621,584,020,836
5. Step 5: Solve for x
   x = 621,584,020,836/366,114
6. Step 6: Final answer
   x = 1,697,788.18