Finding the Third Proportional to 85,873 and 174,172

Step by Step Solution

1. Step 1: Write the proportion equation
   85,873 : 174,172 = 174,172 : x
2. Step 2: Convert to fraction form
   85,873/174,172 = 174,172/x
3. Step 3: Cross multiply
   85,873x = 174,172 × 174,172
4. Step 4: Simplify right side
   85,873x = 30,335,885,584
5. Step 5: Solve for x
   x = 30,335,885,584/85,873
6. Step 6: Final answer
   x = 353,264.54