Finding the Third Proportional to 139,590 and 305,256

Step by Step Solution

1. Step 1: Write the proportion equation
   139,590 : 305,256 = 305,256 : x
2. Step 2: Convert to fraction form
   139,590/305,256 = 305,256/x
3. Step 3: Cross multiply
   139,590x = 305,256 × 305,256
4. Step 4: Simplify right side
   139,590x = 93,181,225,536
5. Step 5: Solve for x
   x = 93,181,225,536/139,590
6. Step 6: Final answer
   x = 667,535.11