Finding the Third Proportional to 729,727 and 1,567,345

Step by Step Solution

1. Step 1: Write the proportion equation
   729,727 : 1,567,345 = 1,567,345 : x
2. Step 2: Convert to fraction form
   729,727/1,567,345 = 1,567,345/x
3. Step 3: Cross multiply
   729,727x = 1,567,345 × 1,567,345
4. Step 4: Simplify right side
   729,727x = 2,456,570,349,025
5. Step 5: Solve for x
   x = 2,456,570,349,025/729,727
6. Step 6: Final answer
   x = 3,366,423.81