Finding the Third Proportional to 832,729 and 1,258,166

Step by Step Solution

1. Step 1: Write the proportion equation
   832,729 : 1,258,166 = 1,258,166 : x
2. Step 2: Convert to fraction form
   832,729/1,258,166 = 1,258,166/x
3. Step 3: Cross multiply
   832,729x = 1,258,166 × 1,258,166
4. Step 4: Simplify right side
   832,729x = 1,582,981,683,556
5. Step 5: Solve for x
   x = 1,582,981,683,556/832,729
6. Step 6: Final answer
   x = 1,900,956.59