Finding the Third Proportional to 119,658 and 261,049.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,658 : 261,049.50 = 261,049.50 : x
2. Step 2: Convert to fraction form
   119,658/261,049.50 = 261,049.50/x
3. Step 3: Cross multiply
   119,658x = 261,049.50 × 261,049.50
4. Step 4: Simplify right side
   119,658x = 68,146,841,450.25
5. Step 5: Solve for x
   x = 68,146,841,450.25/119,658
6. Step 6: Final answer
   x = 569,513.46