Finding the Third Proportional to 758,049 and 1,649,730

Step by Step Solution

1. Step 1: Write the proportion equation
   758,049 : 1,649,730 = 1,649,730 : x
2. Step 2: Convert to fraction form
   758,049/1,649,730 = 1,649,730/x
3. Step 3: Cross multiply
   758,049x = 1,649,730 × 1,649,730
4. Step 4: Simplify right side
   758,049x = 2,721,609,072,900
5. Step 5: Solve for x
   x = 2,721,609,072,900/758,049
6. Step 6: Final answer
   x = 3,590,281.20