Finding the Third Proportional to 209,799.50 and 316,441

Step by Step Solution

1. Step 1: Write the proportion equation
   209,799.50 : 316,441 = 316,441 : x
2. Step 2: Convert to fraction form
   209,799.50/316,441 = 316,441/x
3. Step 3: Cross multiply
   209,799.50x = 316,441 × 316,441
4. Step 4: Simplify right side
   209,799.50x = 100,134,906,481
5. Step 5: Solve for x
   x = 100,134,906,481/209,799.50
6. Step 6: Final answer
   x = 477,288.58