Finding the Third Proportional to 209,011.50 and 320,262

Step by Step Solution

1. Step 1: Write the proportion equation
   209,011.50 : 320,262 = 320,262 : x
2. Step 2: Convert to fraction form
   209,011.50/320,262 = 320,262/x
3. Step 3: Cross multiply
   209,011.50x = 320,262 × 320,262
4. Step 4: Simplify right side
   209,011.50x = 102,567,748,644
5. Step 5: Solve for x
   x = 102,567,748,644/209,011.50
6. Step 6: Final answer
   x = 490,727.78