Finding the Third Proportional to 311,996.25 and 684,855

Step by Step Solution

1. Step 1: Write the proportion equation
   311,996.25 : 684,855 = 684,855 : x
2. Step 2: Convert to fraction form
   311,996.25/684,855 = 684,855/x
3. Step 3: Cross multiply
   311,996.25x = 684,855 × 684,855
4. Step 4: Simplify right side
   311,996.25x = 469,026,371,025
5. Step 5: Solve for x
   x = 469,026,371,025/311,996.25
6. Step 6: Final answer
   x = 1,503,307.72