Finding the Third Proportional to 72,648 and 151,952

Step by Step Solution

1. Step 1: Write the proportion equation
   72,648 : 151,952 = 151,952 : x
2. Step 2: Convert to fraction form
   72,648/151,952 = 151,952/x
3. Step 3: Cross multiply
   72,648x = 151,952 × 151,952
4. Step 4: Simplify right side
   72,648x = 23,089,410,304
5. Step 5: Solve for x
   x = 23,089,410,304/72,648
6. Step 6: Final answer
   x = 317,825.82