Finding the Third Proportional to 254,538 and 502,648

Step by Step Solution

1. Step 1: Write the proportion equation
   254,538 : 502,648 = 502,648 : x
2. Step 2: Convert to fraction form
   254,538/502,648 = 502,648/x
3. Step 3: Cross multiply
   254,538x = 502,648 × 502,648
4. Step 4: Simplify right side
   254,538x = 252,655,011,904
5. Step 5: Solve for x
   x = 252,655,011,904/254,538
6. Step 6: Final answer
   x = 992,602.33