Finding the Third Proportional to 71,096 and 164,588

Step by Step Solution

1. Step 1: Write the proportion equation
   71,096 : 164,588 = 164,588 : x
2. Step 2: Convert to fraction form
   71,096/164,588 = 164,588/x
3. Step 3: Cross multiply
   71,096x = 164,588 × 164,588
4. Step 4: Simplify right side
   71,096x = 27,089,209,744
5. Step 5: Solve for x
   x = 27,089,209,744/71,096
6. Step 6: Final answer
   x = 381,022.98