Finding the Third Proportional to 829,688 and 1,820,080

Step by Step Solution

1. Step 1: Write the proportion equation
   829,688 : 1,820,080 = 1,820,080 : x
2. Step 2: Convert to fraction form
   829,688/1,820,080 = 1,820,080/x
3. Step 3: Cross multiply
   829,688x = 1,820,080 × 1,820,080
4. Step 4: Simplify right side
   829,688x = 3,312,691,206,400
5. Step 5: Solve for x
   x = 3,312,691,206,400/829,688
6. Step 6: Final answer
   x = 3,992,695.09