Finding the Third Proportional to 119,655 and 261,042.75

Step by Step Solution

1. Step 1: Write the proportion equation
   119,655 : 261,042.75 = 261,042.75 : x
2. Step 2: Convert to fraction form
   119,655/261,042.75 = 261,042.75/x
3. Step 3: Cross multiply
   119,655x = 261,042.75 × 261,042.75
4. Step 4: Simplify right side
   119,655x = 68,143,317,327.56
5. Step 5: Solve for x
   x = 68,143,317,327.56/119,655
6. Step 6: Final answer
   x = 569,498.29