Finding the Third Proportional to 71,512 and 152,520

Step by Step Solution

1. Step 1: Write the proportion equation
   71,512 : 152,520 = 152,520 : x
2. Step 2: Convert to fraction form
   71,512/152,520 = 152,520/x
3. Step 3: Cross multiply
   71,512x = 152,520 × 152,520
4. Step 4: Simplify right side
   71,512x = 23,262,350,400
5. Step 5: Solve for x
   x = 23,262,350,400/71,512
6. Step 6: Final answer
   x = 325,292.96