Finding the Third Proportional to 380,700 and 827,010

Step by Step Solution

1. Step 1: Write the proportion equation
   380,700 : 827,010 = 827,010 : x
2. Step 2: Convert to fraction form
   380,700/827,010 = 827,010/x
3. Step 3: Cross multiply
   380,700x = 827,010 × 827,010
4. Step 4: Simplify right side
   380,700x = 683,945,540,100
5. Step 5: Solve for x
   x = 683,945,540,100/380,700
6. Step 6: Final answer
   x = 1,796,547.26