Finding the Third Proportional to 80,172 and 174,006

Step by Step Solution

1. Step 1: Write the proportion equation
   80,172 : 174,006 = 174,006 : x
2. Step 2: Convert to fraction form
   80,172/174,006 = 174,006/x
3. Step 3: Cross multiply
   80,172x = 174,006 × 174,006
4. Step 4: Simplify right side
   80,172x = 30,278,088,036
5. Step 5: Solve for x
   x = 30,278,088,036/80,172
6. Step 6: Final answer
   x = 377,664.12