Finding the Third Proportional to 686,772 and 1,009,609.31

Step by Step Solution

1. Step 1: Write the proportion equation
   686,772 : 1,009,609.31 = 1,009,609.31 : x
2. Step 2: Convert to fraction form
   686,772/1,009,609.31 = 1,009,609.31/x
3. Step 3: Cross multiply
   686,772x = 1,009,609.31 × 1,009,609.31
4. Step 4: Simplify right side
   686,772x = 1,019,310,963,886.72
5. Step 5: Solve for x
   x = 1,019,310,963,886.72/686,772
6. Step 6: Final answer
   x = 1,484,205.77