Finding the Third Proportional to 85,872 and 174,073

Step by Step Solution

1. Step 1: Write the proportion equation
   85,872 : 174,073 = 174,073 : x
2. Step 2: Convert to fraction form
   85,872/174,073 = 174,073/x
3. Step 3: Cross multiply
   85,872x = 174,073 × 174,073
4. Step 4: Simplify right side
   85,872x = 30,301,409,329
5. Step 5: Solve for x
   x = 30,301,409,329/85,872
6. Step 6: Final answer
   x = 352,867.17