Finding the Third Proportional to 120,606 and 254,590

Step by Step Solution

1. Step 1: Write the proportion equation
   120,606 : 254,590 = 254,590 : x
2. Step 2: Convert to fraction form
   120,606/254,590 = 254,590/x
3. Step 3: Cross multiply
   120,606x = 254,590 × 254,590
4. Step 4: Simplify right side
   120,606x = 64,816,068,100
5. Step 5: Solve for x
   x = 64,816,068,100/120,606
6. Step 6: Final answer
   x = 537,419.93