Finding the Third Proportional to 686,905 and 1,009,751

Step by Step Solution

1. Step 1: Write the proportion equation
   686,905 : 1,009,751 = 1,009,751 : x
2. Step 2: Convert to fraction form
   686,905/1,009,751 = 1,009,751/x
3. Step 3: Cross multiply
   686,905x = 1,009,751 × 1,009,751
4. Step 4: Simplify right side
   686,905x = 1,019,597,082,001
5. Step 5: Solve for x
   x = 1,019,597,082,001/686,905
6. Step 6: Final answer
   x = 1,484,334.93