Finding the Third Proportional to 83,530 and 173,972

Step by Step Solution

1. Step 1: Write the proportion equation
   83,530 : 173,972 = 173,972 : x
2. Step 2: Convert to fraction form
   83,530/173,972 = 173,972/x
3. Step 3: Cross multiply
   83,530x = 173,972 × 173,972
4. Step 4: Simplify right side
   83,530x = 30,266,256,784
5. Step 5: Solve for x
   x = 30,266,256,784/83,530
6. Step 6: Final answer
   x = 362,339.96