Finding the Third Proportional to 79,314 and 174,180

Step by Step Solution

1. Step 1: Write the proportion equation
   79,314 : 174,180 = 174,180 : x
2. Step 2: Convert to fraction form
   79,314/174,180 = 174,180/x
3. Step 3: Cross multiply
   79,314x = 174,180 × 174,180
4. Step 4: Simplify right side
   79,314x = 30,338,672,400
5. Step 5: Solve for x
   x = 30,338,672,400/79,314
6. Step 6: Final answer
   x = 382,513.46