Finding the Third Proportional to 766,326 and 1,665,296

Step by Step Solution

1. Step 1: Write the proportion equation
   766,326 : 1,665,296 = 1,665,296 : x
2. Step 2: Convert to fraction form
   766,326/1,665,296 = 1,665,296/x
3. Step 3: Cross multiply
   766,326x = 1,665,296 × 1,665,296
4. Step 4: Simplify right side
   766,326x = 2,773,210,767,616
5. Step 5: Solve for x
   x = 2,773,210,767,616/766,326
6. Step 6: Final answer
   x = 3,618,839.46