Finding the Third Proportional to 123,980 and 254,494

Step by Step Solution

1. Step 1: Write the proportion equation
   123,980 : 254,494 = 254,494 : x
2. Step 2: Convert to fraction form
   123,980/254,494 = 254,494/x
3. Step 3: Cross multiply
   123,980x = 254,494 × 254,494
4. Step 4: Simplify right side
   123,980x = 64,767,196,036
5. Step 5: Solve for x
   x = 64,767,196,036/123,980
6. Step 6: Final answer
   x = 522,400.36