Finding the Third Proportional to 269,836.50 and 384,417

Step by Step Solution

1. Step 1: Write the proportion equation
   269,836.50 : 384,417 = 384,417 : x
2. Step 2: Convert to fraction form
   269,836.50/384,417 = 384,417/x
3. Step 3: Cross multiply
   269,836.50x = 384,417 × 384,417
4. Step 4: Simplify right side
   269,836.50x = 147,776,429,889
5. Step 5: Solve for x
   x = 147,776,429,889/269,836.50
6. Step 6: Final answer
   x = 547,651.74