Finding the Third Proportional to 119,915 and 257,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,915 : 257,974.50 = 257,974.50 : x
2. Step 2: Convert to fraction form
   119,915/257,974.50 = 257,974.50/x
3. Step 3: Cross multiply
   119,915x = 257,974.50 × 257,974.50
4. Step 4: Simplify right side
   119,915x = 66,550,842,650.25
5. Step 5: Solve for x
   x = 66,550,842,650.25/119,915
6. Step 6: Final answer
   x = 554,983.47