Finding the Third Proportional to 79,641 and 174,051

Step by Step Solution

1. Step 1: Write the proportion equation
   79,641 : 174,051 = 174,051 : x
2. Step 2: Convert to fraction form
   79,641/174,051 = 174,051/x
3. Step 3: Cross multiply
   79,641x = 174,051 × 174,051
4. Step 4: Simplify right side
   79,641x = 30,293,750,601
5. Step 5: Solve for x
   x = 30,293,750,601/79,641
6. Step 6: Final answer
   x = 380,378.83