Finding the Third Proportional to 80,185 and 174,034

Step by Step Solution

1. Step 1: Write the proportion equation
   80,185 : 174,034 = 174,034 : x
2. Step 2: Convert to fraction form
   80,185/174,034 = 174,034/x
3. Step 3: Cross multiply
   80,185x = 174,034 × 174,034
4. Step 4: Simplify right side
   80,185x = 30,287,833,156
5. Step 5: Solve for x
   x = 30,287,833,156/80,185
6. Step 6: Final answer
   x = 377,724.43