Finding the Third Proportional to 102,333 and 209,738

Step by Step Solution

1. Step 1: Write the proportion equation
   102,333 : 209,738 = 209,738 : x
2. Step 2: Convert to fraction form
   102,333/209,738 = 209,738/x
3. Step 3: Cross multiply
   102,333x = 209,738 × 209,738
4. Step 4: Simplify right side
   102,333x = 43,990,028,644
5. Step 5: Solve for x
   x = 43,990,028,644/102,333
6. Step 6: Final answer
   x = 429,871.39