Finding the Third Proportional to 686,742 and 1,010,258

Step by Step Solution

1. Step 1: Write the proportion equation
   686,742 : 1,010,258 = 1,010,258 : x
2. Step 2: Convert to fraction form
   686,742/1,010,258 = 1,010,258/x
3. Step 3: Cross multiply
   686,742x = 1,010,258 × 1,010,258
4. Step 4: Simplify right side
   686,742x = 1,020,621,226,564
5. Step 5: Solve for x
   x = 1,020,621,226,564/686,742
6. Step 6: Final answer
   x = 1,486,178.55