Finding the Third Proportional to 123,309.84 and 264,976.52

Step by Step Solution

1. Step 1: Write the proportion equation
   123,309.84 : 264,976.52 = 264,976.52 : x
2. Step 2: Convert to fraction form
   123,309.84/264,976.52 = 264,976.52/x
3. Step 3: Cross multiply
   123,309.84x = 264,976.52 × 264,976.52
4. Step 4: Simplify right side
   123,309.84x = 70,212,557,973.02
5. Step 5: Solve for x
   x = 70,212,557,973.02/123,309.84
6. Step 6: Final answer
   x = 569,399.46