Finding the Third Proportional to 782,820 and 1,212,109

Step by Step Solution

1. Step 1: Write the proportion equation
   782,820 : 1,212,109 = 1,212,109 : x
2. Step 2: Convert to fraction form
   782,820/1,212,109 = 1,212,109/x
3. Step 3: Cross multiply
   782,820x = 1,212,109 × 1,212,109
4. Step 4: Simplify right side
   782,820x = 1,469,208,227,881
5. Step 5: Solve for x
   x = 1,469,208,227,881/782,820
6. Step 6: Final answer
   x = 1,876,814.88