Finding the Third Proportional to 119,463.50 and 256,634

Step by Step Solution

1. Step 1: Write the proportion equation
   119,463.50 : 256,634 = 256,634 : x
2. Step 2: Convert to fraction form
   119,463.50/256,634 = 256,634/x
3. Step 3: Cross multiply
   119,463.50x = 256,634 × 256,634
4. Step 4: Simplify right side
   119,463.50x = 65,861,009,956
5. Step 5: Solve for x
   x = 65,861,009,956/119,463.50
6. Step 6: Final answer
   x = 551,306.55