Finding the Third Proportional to 162,766 and 356,564

Step by Step Solution

1. Step 1: Write the proportion equation
   162,766 : 356,564 = 356,564 : x
2. Step 2: Convert to fraction form
   162,766/356,564 = 356,564/x
3. Step 3: Cross multiply
   162,766x = 356,564 × 356,564
4. Step 4: Simplify right side
   162,766x = 127,137,886,096
5. Step 5: Solve for x
   x = 127,137,886,096/162,766
6. Step 6: Final answer
   x = 781,108.38