Finding the Third Proportional to 123,766 and 254,090

Step by Step Solution

1. Step 1: Write the proportion equation
   123,766 : 254,090 = 254,090 : x
2. Step 2: Convert to fraction form
   123,766/254,090 = 254,090/x
3. Step 3: Cross multiply
   123,766x = 254,090 × 254,090
4. Step 4: Simplify right side
   123,766x = 64,561,728,100
5. Step 5: Solve for x
   x = 64,561,728,100/123,766
6. Step 6: Final answer
   x = 521,643.49