Finding the Third Proportional to 1,089,729 and 1,700,829

Step by Step Solution

1. Step 1: Write the proportion equation
   1,089,729 : 1,700,829 = 1,700,829 : x
2. Step 2: Convert to fraction form
   1,089,729/1,700,829 = 1,700,829/x
3. Step 3: Cross multiply
   1,089,729x = 1,700,829 × 1,700,829
4. Step 4: Simplify right side
   1,089,729x = 2,892,819,287,241
5. Step 5: Solve for x
   x = 2,892,819,287,241/1,089,729
6. Step 6: Final answer
   x = 2,654,622.65