Finding the Third Proportional to 80,342 and 174,973

Step by Step Solution

1. Step 1: Write the proportion equation
   80,342 : 174,973 = 174,973 : x
2. Step 2: Convert to fraction form
   80,342/174,973 = 174,973/x
3. Step 3: Cross multiply
   80,342x = 174,973 × 174,973
4. Step 4: Simplify right side
   80,342x = 30,615,550,729
5. Step 5: Solve for x
   x = 30,615,550,729/80,342
6. Step 6: Final answer
   x = 381,065.33