Finding the Third Proportional to 123,079.50 and 263,655

Step by Step Solution

1. Step 1: Write the proportion equation
   123,079.50 : 263,655 = 263,655 : x
2. Step 2: Convert to fraction form
   123,079.50/263,655 = 263,655/x
3. Step 3: Cross multiply
   123,079.50x = 263,655 × 263,655
4. Step 4: Simplify right side
   123,079.50x = 69,513,959,025
5. Step 5: Solve for x
   x = 69,513,959,025/123,079.50
6. Step 6: Final answer
   x = 564,789.09