Finding the Third Proportional to 123,972 and 270,984

Step by Step Solution

1. Step 1: Write the proportion equation
   123,972 : 270,984 = 270,984 : x
2. Step 2: Convert to fraction form
   123,972/270,984 = 270,984/x
3. Step 3: Cross multiply
   123,972x = 270,984 × 270,984
4. Step 4: Simplify right side
   123,972x = 73,432,328,256
5. Step 5: Solve for x
   x = 73,432,328,256/123,972
6. Step 6: Final answer
   x = 592,329.95