Finding the Third Proportional to 119,005.88 and 178,524

Step by Step Solution

1. Step 1: Write the proportion equation
   119,005.88 : 178,524 = 178,524 : x
2. Step 2: Convert to fraction form
   119,005.88/178,524 = 178,524/x
3. Step 3: Cross multiply
   119,005.88x = 178,524 × 178,524
4. Step 4: Simplify right side
   119,005.88x = 31,870,818,576
5. Step 5: Solve for x
   x = 31,870,818,576/119,005.88
6. Step 6: Final answer
   x = 267,808.78