Finding the Third Proportional to 123,968 and 254,470

Step by Step Solution

1. Step 1: Write the proportion equation
   123,968 : 254,470 = 254,470 : x
2. Step 2: Convert to fraction form
   123,968/254,470 = 254,470/x
3. Step 3: Cross multiply
   123,968x = 254,470 × 254,470
4. Step 4: Simplify right side
   123,968x = 64,754,980,900
5. Step 5: Solve for x
   x = 64,754,980,900/123,968
6. Step 6: Final answer
   x = 522,352.39