Finding the Third Proportional to 123,720 and 174,780

Step by Step Solution

1. Step 1: Write the proportion equation
   123,720 : 174,780 = 174,780 : x
2. Step 2: Convert to fraction form
   123,720/174,780 = 174,780/x
3. Step 3: Cross multiply
   123,720x = 174,780 × 174,780
4. Step 4: Simplify right side
   123,720x = 30,548,048,400
5. Step 5: Solve for x
   x = 30,548,048,400/123,720
6. Step 6: Final answer
   x = 246,912.77