Finding the Third Proportional to 71,161 and 152,874

Step by Step Solution

1. Step 1: Write the proportion equation
   71,161 : 152,874 = 152,874 : x
2. Step 2: Convert to fraction form
   71,161/152,874 = 152,874/x
3. Step 3: Cross multiply
   71,161x = 152,874 × 152,874
4. Step 4: Simplify right side
   71,161x = 23,370,459,876
5. Step 5: Solve for x
   x = 23,370,459,876/71,161
6. Step 6: Final answer
   x = 328,416.69