Finding the Third Proportional to 123,637 and 264,770

Step by Step Solution

1. Step 1: Write the proportion equation
   123,637 : 264,770 = 264,770 : x
2. Step 2: Convert to fraction form
   123,637/264,770 = 264,770/x
3. Step 3: Cross multiply
   123,637x = 264,770 × 264,770
4. Step 4: Simplify right side
   123,637x = 70,103,152,900
5. Step 5: Solve for x
   x = 70,103,152,900/123,637
6. Step 6: Final answer
   x = 567,007.88