Finding the Third Proportional to 156,256 and 323,584

Step by Step Solution

1. Step 1: Write the proportion equation
   156,256 : 323,584 = 323,584 : x
2. Step 2: Convert to fraction form
   156,256/323,584 = 323,584/x
3. Step 3: Cross multiply
   156,256x = 323,584 × 323,584
4. Step 4: Simplify right side
   156,256x = 104,706,605,056
5. Step 5: Solve for x
   x = 104,706,605,056/156,256
6. Step 6: Final answer
   x = 670,096.54