Finding the Third Proportional to 71,235 and 152,952

Step by Step Solution

1. Step 1: Write the proportion equation
   71,235 : 152,952 = 152,952 : x
2. Step 2: Convert to fraction form
   71,235/152,952 = 152,952/x
3. Step 3: Cross multiply
   71,235x = 152,952 × 152,952
4. Step 4: Simplify right side
   71,235x = 23,394,314,304
5. Step 5: Solve for x
   x = 23,394,314,304/71,235
6. Step 6: Final answer
   x = 328,410.39