Finding the Third Proportional to 380,382 and 803,210

Step by Step Solution

1. Step 1: Write the proportion equation
   380,382 : 803,210 = 803,210 : x
2. Step 2: Convert to fraction form
   380,382/803,210 = 803,210/x
3. Step 3: Cross multiply
   380,382x = 803,210 × 803,210
4. Step 4: Simplify right side
   380,382x = 645,146,304,100
5. Step 5: Solve for x
   x = 645,146,304,100/380,382
6. Step 6: Final answer
   x = 1,696,048.46