Finding the Third Proportional to 151,768,456,074 and 337,470,172,812

Step by Step Solution

1. Step 1: Write the proportion equation
   151,768,456,074 : 337,470,172,812 = 337,470,172,812 : x
2. Step 2: Convert to fraction form
   151,768,456,074/337,470,172,812 = 337,470,172,812/x
3. Step 3: Cross multiply
   151,768,456,074x = 337,470,172,812 × 337,470,172,812
4. Step 4: Simplify right side
   151,768,456,074x = 113,886,117,537,761,137,262,592
5. Step 5: Solve for x
   x = 113,886,117,537,761,137,262,592/151,768,456,074
6. Step 6: Final answer
   x = 750,393,859,724.26