Finding the Third Proportional to 71,096 and 152,656

Step by Step Solution

1. Step 1: Write the proportion equation
   71,096 : 152,656 = 152,656 : x
2. Step 2: Convert to fraction form
   71,096/152,656 = 152,656/x
3. Step 3: Cross multiply
   71,096x = 152,656 × 152,656
4. Step 4: Simplify right side
   71,096x = 23,303,854,336
5. Step 5: Solve for x
   x = 23,303,854,336/71,096
6. Step 6: Final answer
   x = 327,780.10