Finding the Third Proportional to 156,638 and 333,796

Step by Step Solution

1. Step 1: Write the proportion equation
   156,638 : 333,796 = 333,796 : x
2. Step 2: Convert to fraction form
   156,638/333,796 = 333,796/x
3. Step 3: Cross multiply
   156,638x = 333,796 × 333,796
4. Step 4: Simplify right side
   156,638x = 111,419,769,616
5. Step 5: Solve for x
   x = 111,419,769,616/156,638
6. Step 6: Final answer
   x = 711,320.18