Finding the Third Proportional to 80,558 and 174,956

Step by Step Solution

1. Step 1: Write the proportion equation
   80,558 : 174,956 = 174,956 : x
2. Step 2: Convert to fraction form
   80,558/174,956 = 174,956/x
3. Step 3: Cross multiply
   80,558x = 174,956 × 174,956
4. Step 4: Simplify right side
   80,558x = 30,609,601,936
5. Step 5: Solve for x
   x = 30,609,601,936/80,558
6. Step 6: Final answer
   x = 379,969.74