Finding the Third Proportional to 123,632 and 270,592

Step by Step Solution

1. Step 1: Write the proportion equation
   123,632 : 270,592 = 270,592 : x
2. Step 2: Convert to fraction form
   123,632/270,592 = 270,592/x
3. Step 3: Cross multiply
   123,632x = 270,592 × 270,592
4. Step 4: Simplify right side
   123,632x = 73,220,030,464
5. Step 5: Solve for x
   x = 73,220,030,464/123,632
6. Step 6: Final answer
   x = 592,241.74