Finding the Third Proportional to 313,096.50 and 685,269

Step by Step Solution

1. Step 1: Write the proportion equation
   313,096.50 : 685,269 = 685,269 : x
2. Step 2: Convert to fraction form
   313,096.50/685,269 = 685,269/x
3. Step 3: Cross multiply
   313,096.50x = 685,269 × 685,269
4. Step 4: Simplify right side
   313,096.50x = 469,593,602,361
5. Step 5: Solve for x
   x = 469,593,602,361/313,096.50
6. Step 6: Final answer
   x = 1,499,836.64