Finding the Third Proportional to 119,945 and 176,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,945 : 176,025.50 = 176,025.50 : x
2. Step 2: Convert to fraction form
   119,945/176,025.50 = 176,025.50/x
3. Step 3: Cross multiply
   119,945x = 176,025.50 × 176,025.50
4. Step 4: Simplify right side
   119,945x = 30,984,976,650.25
5. Step 5: Solve for x
   x = 30,984,976,650.25/119,945
6. Step 6: Final answer
   x = 258,326.54