Finding the Third Proportional to 119,286 and 182,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,286 : 182,749.50 = 182,749.50 : x
2. Step 2: Convert to fraction form
   119,286/182,749.50 = 182,749.50/x
3. Step 3: Cross multiply
   119,286x = 182,749.50 × 182,749.50
4. Step 4: Simplify right side
   119,286x = 33,397,379,750.25
5. Step 5: Solve for x
   x = 33,397,379,750.25/119,286
6. Step 6: Final answer
   x = 279,977.36