Finding the Third Proportional to 380,116 and 816,388

Step by Step Solution

1. Step 1: Write the proportion equation
   380,116 : 816,388 = 816,388 : x
2. Step 2: Convert to fraction form
   380,116/816,388 = 816,388/x
3. Step 3: Cross multiply
   380,116x = 816,388 × 816,388
4. Step 4: Simplify right side
   380,116x = 666,489,366,544
5. Step 5: Solve for x
   x = 666,489,366,544/380,116
6. Step 6: Final answer
   x = 1,753,384.14