Finding the Third Proportional to 114,048 and 262,848

Step by Step Solution

1. Step 1: Write the proportion equation
   114,048 : 262,848 = 262,848 : x
2. Step 2: Convert to fraction form
   114,048/262,848 = 262,848/x
3. Step 3: Cross multiply
   114,048x = 262,848 × 262,848
4. Step 4: Simplify right side
   114,048x = 69,089,071,104
5. Step 5: Solve for x
   x = 69,089,071,104/114,048
6. Step 6: Final answer
   x = 605,789.41