Finding the Third Proportional to 71,504 and 152,503

Step by Step Solution

1. Step 1: Write the proportion equation
   71,504 : 152,503 = 152,503 : x
2. Step 2: Convert to fraction form
   71,504/152,503 = 152,503/x
3. Step 3: Cross multiply
   71,504x = 152,503 × 152,503
4. Step 4: Simplify right side
   71,504x = 23,257,165,009
5. Step 5: Solve for x
   x = 23,257,165,009/71,504
6. Step 6: Final answer
   x = 325,256.84