Finding the Third Proportional to 120,708 and 175,590

Step by Step Solution

1. Step 1: Write the proportion equation
   120,708 : 175,590 = 175,590 : x
2. Step 2: Convert to fraction form
   120,708/175,590 = 175,590/x
3. Step 3: Cross multiply
   120,708x = 175,590 × 175,590
4. Step 4: Simplify right side
   120,708x = 30,831,848,100
5. Step 5: Solve for x
   x = 30,831,848,100/120,708
6. Step 6: Final answer
   x = 255,425.06