Finding the Third Proportional to 119,414 and 174,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,414 : 174,198.50 = 174,198.50 : x
2. Step 2: Convert to fraction form
   119,414/174,198.50 = 174,198.50/x
3. Step 3: Cross multiply
   119,414x = 174,198.50 × 174,198.50
4. Step 4: Simplify right side
   119,414x = 30,345,117,402.25
5. Step 5: Solve for x
   x = 30,345,117,402.25/119,414
6. Step 6: Final answer
   x = 254,116.92