Finding the Third Proportional to 684,814.50 and 986,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   684,814.50 : 986,404.50 = 986,404.50 : x
2. Step 2: Convert to fraction form
   684,814.50/986,404.50 = 986,404.50/x
3. Step 3: Cross multiply
   684,814.50x = 986,404.50 × 986,404.50
4. Step 4: Simplify right side
   684,814.50x = 972,993,837,620.25
5. Step 5: Solve for x
   x = 972,993,837,620.25/684,814.50
6. Step 6: Final answer
   x = 1,420,813.72