Finding the Third Proportional to 123,770 and 270,724

Step by Step Solution

1. Step 1: Write the proportion equation
   123,770 : 270,724 = 270,724 : x
2. Step 2: Convert to fraction form
   123,770/270,724 = 270,724/x
3. Step 3: Cross multiply
   123,770x = 270,724 × 270,724
4. Step 4: Simplify right side
   123,770x = 73,291,484,176
5. Step 5: Solve for x
   x = 73,291,484,176/123,770
6. Step 6: Final answer
   x = 592,158.72