Finding the Third Proportional to 42,504 and 86,848

Step by Step Solution

1. Step 1: Write the proportion equation
   42,504 : 86,848 = 86,848 : x
2. Step 2: Convert to fraction form
   42,504/86,848 = 86,848/x
3. Step 3: Cross multiply
   42,504x = 86,848 × 86,848
4. Step 4: Simplify right side
   42,504x = 7,542,575,104
5. Step 5: Solve for x
   x = 7,542,575,104/42,504
6. Step 6: Final answer
   x = 177,455.65