Finding the Third Proportional to 766,896 and 1,161,072

Step by Step Solution

1. Step 1: Write the proportion equation
   766,896 : 1,161,072 = 1,161,072 : x
2. Step 2: Convert to fraction form
   766,896/1,161,072 = 1,161,072/x
3. Step 3: Cross multiply
   766,896x = 1,161,072 × 1,161,072
4. Step 4: Simplify right side
   766,896x = 1,348,088,189,184
5. Step 5: Solve for x
   x = 1,348,088,189,184/766,896
6. Step 6: Final answer
   x = 1,757,850.07