Finding the Third Proportional to 119,651.25 and 261,036

Step by Step Solution

1. Step 1: Write the proportion equation
   119,651.25 : 261,036 = 261,036 : x
2. Step 2: Convert to fraction form
   119,651.25/261,036 = 261,036/x
3. Step 3: Cross multiply
   119,651.25x = 261,036 × 261,036
4. Step 4: Simplify right side
   119,651.25x = 68,139,793,296
5. Step 5: Solve for x
   x = 68,139,793,296/119,651.25
6. Step 6: Final answer
   x = 569,486.68