Finding the Third Proportional to 380,205 and 816,570

Step by Step Solution

1. Step 1: Write the proportion equation
   380,205 : 816,570 = 816,570 : x
2. Step 2: Convert to fraction form
   380,205/816,570 = 816,570/x
3. Step 3: Cross multiply
   380,205x = 816,570 × 816,570
4. Step 4: Simplify right side
   380,205x = 666,786,564,900
5. Step 5: Solve for x
   x = 666,786,564,900/380,205
6. Step 6: Final answer
   x = 1,753,755.38