Finding the Third Proportional to 120,647.50 and 257,326

Step by Step Solution

1. Step 1: Write the proportion equation
   120,647.50 : 257,326 = 257,326 : x
2. Step 2: Convert to fraction form
   120,647.50/257,326 = 257,326/x
3. Step 3: Cross multiply
   120,647.50x = 257,326 × 257,326
4. Step 4: Simplify right side
   120,647.50x = 66,216,670,276
5. Step 5: Solve for x
   x = 66,216,670,276/120,647.50
6. Step 6: Final answer
   x = 548,844.11