Finding the Third Proportional to 120,581.50 and 257,772

Step by Step Solution

1. Step 1: Write the proportion equation
   120,581.50 : 257,772 = 257,772 : x
2. Step 2: Convert to fraction form
   120,581.50/257,772 = 257,772/x
3. Step 3: Cross multiply
   120,581.50x = 257,772 × 257,772
4. Step 4: Simplify right side
   120,581.50x = 66,446,403,984
5. Step 5: Solve for x
   x = 66,446,403,984/120,581.50
6. Step 6: Final answer
   x = 551,049.74