Finding the Third Proportional to 123,729 and 275,790

Step by Step Solution

1. Step 1: Write the proportion equation
   123,729 : 275,790 = 275,790 : x
2. Step 2: Convert to fraction form
   123,729/275,790 = 275,790/x
3. Step 3: Cross multiply
   123,729x = 275,790 × 275,790
4. Step 4: Simplify right side
   123,729x = 76,060,124,100
5. Step 5: Solve for x
   x = 76,060,124,100/123,729
6. Step 6: Final answer
   x = 614,731.58