Finding the Third Proportional to 119,278.50 and 182,740

Step by Step Solution

1. Step 1: Write the proportion equation
   119,278.50 : 182,740 = 182,740 : x
2. Step 2: Convert to fraction form
   119,278.50/182,740 = 182,740/x
3. Step 3: Cross multiply
   119,278.50x = 182,740 × 182,740
4. Step 4: Simplify right side
   119,278.50x = 33,393,907,600
5. Step 5: Solve for x
   x = 33,393,907,600/119,278.50
6. Step 6: Final answer
   x = 279,965.86