Finding the Third Proportional to 256,574.25 and 546,372

Step by Step Solution

1. Step 1: Write the proportion equation
   256,574.25 : 546,372 = 546,372 : x
2. Step 2: Convert to fraction form
   256,574.25/546,372 = 546,372/x
3. Step 3: Cross multiply
   256,574.25x = 546,372 × 546,372
4. Step 4: Simplify right side
   256,574.25x = 298,522,362,384
5. Step 5: Solve for x
   x = 298,522,362,384/256,574.25
6. Step 6: Final answer
   x = 1,163,493.07