Finding the Third Proportional to 780,020,456,640 and 1,581,973,313,256

Step by Step Solution

1. Step 1: Write the proportion equation
   780,020,456,640 : 1,581,973,313,256 = 1,581,973,313,256 : x
2. Step 2: Convert to fraction form
   780,020,456,640/1,581,973,313,256 = 1,581,973,313,256/x
3. Step 3: Cross multiply
   780,020,456,640x = 1,581,973,313,256 × 1,581,973,313,256
4. Step 4: Simplify right side
   780,020,456,640x = 2,502,639,563,854,166,404,104,192
5. Step 5: Solve for x
   x = 2,502,639,563,854,166,404,104,192/780,020,456,640
6. Step 6: Final answer
   x = 3,208,428,115,634.92