Finding the Third Proportional to 71,524 and 152,546

Step by Step Solution

1. Step 1: Write the proportion equation
   71,524 : 152,546 = 152,546 : x
2. Step 2: Convert to fraction form
   71,524/152,546 = 152,546/x
3. Step 3: Cross multiply
   71,524x = 152,546 × 152,546
4. Step 4: Simplify right side
   71,524x = 23,270,282,116
5. Step 5: Solve for x
   x = 23,270,282,116/71,524
6. Step 6: Final answer
   x = 325,349.28