Finding the Third Proportional to 783,666 and 1,195,768

Step by Step Solution

1. Step 1: Write the proportion equation
   783,666 : 1,195,768 = 1,195,768 : x
2. Step 2: Convert to fraction form
   783,666/1,195,768 = 1,195,768/x
3. Step 3: Cross multiply
   783,666x = 1,195,768 × 1,195,768
4. Step 4: Simplify right side
   783,666x = 1,429,861,109,824
5. Step 5: Solve for x
   x = 1,429,861,109,824/783,666
6. Step 6: Final answer
   x = 1,824,579.74