Finding the Third Proportional to 680,201 and 1,016,747

Step by Step Solution

1. Step 1: Write the proportion equation
   680,201 : 1,016,747 = 1,016,747 : x
2. Step 2: Convert to fraction form
   680,201/1,016,747 = 1,016,747/x
3. Step 3: Cross multiply
   680,201x = 1,016,747 × 1,016,747
4. Step 4: Simplify right side
   680,201x = 1,033,774,462,009
5. Step 5: Solve for x
   x = 1,033,774,462,009/680,201
6. Step 6: Final answer
   x = 1,519,807.32