Finding the Third Proportional to 314,218 and 683,111

Step by Step Solution

1. Step 1: Write the proportion equation
   314,218 : 683,111 = 683,111 : x
2. Step 2: Convert to fraction form
   314,218/683,111 = 683,111/x
3. Step 3: Cross multiply
   314,218x = 683,111 × 683,111
4. Step 4: Simplify right side
   314,218x = 466,640,638,321
5. Step 5: Solve for x
   x = 466,640,638,321/314,218
6. Step 6: Final answer
   x = 1,485,085.64