Finding the Third Proportional to 120,622 and 257,274.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,622 : 257,274.50 = 257,274.50 : x
2. Step 2: Convert to fraction form
   120,622/257,274.50 = 257,274.50/x
3. Step 3: Cross multiply
   120,622x = 257,274.50 × 257,274.50
4. Step 4: Simplify right side
   120,622x = 66,190,168,350.25
5. Step 5: Solve for x
   x = 66,190,168,350.25/120,622
6. Step 6: Final answer
   x = 548,740.43