Finding the Third Proportional to 71,514 and 152,524

Step by Step Solution

1. Step 1: Write the proportion equation
   71,514 : 152,524 = 152,524 : x
2. Step 2: Convert to fraction form
   71,514/152,524 = 152,524/x
3. Step 3: Cross multiply
   71,514x = 152,524 × 152,524
4. Step 4: Simplify right side
   71,514x = 23,263,570,576
5. Step 5: Solve for x
   x = 23,263,570,576/71,514
6. Step 6: Final answer
   x = 325,300.93