Finding the Third Proportional to 354,941 and 766,162

Step by Step Solution

1. Step 1: Write the proportion equation
   354,941 : 766,162 = 766,162 : x
2. Step 2: Convert to fraction form
   354,941/766,162 = 766,162/x
3. Step 3: Cross multiply
   354,941x = 766,162 × 766,162
4. Step 4: Simplify right side
   354,941x = 587,004,210,244
5. Step 5: Solve for x
   x = 587,004,210,244/354,941
6. Step 6: Final answer
   x = 1,653,807.84