Finding the Third Proportional to 680,214 and 1,016,768

Step by Step Solution

1. Step 1: Write the proportion equation
   680,214 : 1,016,768 = 1,016,768 : x
2. Step 2: Convert to fraction form
   680,214/1,016,768 = 1,016,768/x
3. Step 3: Cross multiply
   680,214x = 1,016,768 × 1,016,768
4. Step 4: Simplify right side
   680,214x = 1,033,817,165,824
5. Step 5: Solve for x
   x = 1,033,817,165,824/680,214
6. Step 6: Final answer
   x = 1,519,841.06