Finding the Third Proportional to 380,806 and 827,156

Step by Step Solution

1. Step 1: Write the proportion equation
   380,806 : 827,156 = 827,156 : x
2. Step 2: Convert to fraction form
   380,806/827,156 = 827,156/x
3. Step 3: Cross multiply
   380,806x = 827,156 × 827,156
4. Step 4: Simplify right side
   380,806x = 684,187,048,336
5. Step 5: Solve for x
   x = 684,187,048,336/380,806
6. Step 6: Final answer
   x = 1,796,681.38