Finding the Third Proportional to 725,824 and 1,089,462

Step by Step Solution

1. Step 1: Write the proportion equation
   725,824 : 1,089,462 = 1,089,462 : x
2. Step 2: Convert to fraction form
   725,824/1,089,462 = 1,089,462/x
3. Step 3: Cross multiply
   725,824x = 1,089,462 × 1,089,462
4. Step 4: Simplify right side
   725,824x = 1,186,927,449,444
5. Step 5: Solve for x
   x = 1,186,927,449,444/725,824
6. Step 6: Final answer
   x = 1,635,282.73