Finding the Third Proportional to 314,685 and 685,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   314,685 : 685,381.50 = 685,381.50 : x
2. Step 2: Convert to fraction form
   314,685/685,381.50 = 685,381.50/x
3. Step 3: Cross multiply
   314,685x = 685,381.50 × 685,381.50
4. Step 4: Simplify right side
   314,685x = 469,747,800,542.25
5. Step 5: Solve for x
   x = 469,747,800,542.25/314,685
6. Step 6: Final answer
   x = 1,492,755.61