Finding the Third Proportional to 120,191 and 174,085

Step by Step Solution

1. Step 1: Write the proportion equation
   120,191 : 174,085 = 174,085 : x
2. Step 2: Convert to fraction form
   120,191/174,085 = 174,085/x
3. Step 3: Cross multiply
   120,191x = 174,085 × 174,085
4. Step 4: Simplify right side
   120,191x = 30,305,587,225
5. Step 5: Solve for x
   x = 30,305,587,225/120,191
6. Step 6: Final answer
   x = 252,145.23