Finding the Third Proportional to 1,147,480,520,256 and 1,714,896,395,856

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147,480,520,256 : 1,714,896,395,856 = 1,714,896,395,856 : x
2. Step 2: Convert to fraction form
   1,147,480,520,256/1,714,896,395,856 = 1,714,896,395,856/x
3. Step 3: Cross multiply
   1,147,480,520,256x = 1,714,896,395,856 × 1,714,896,395,856
4. Step 4: Simplify right side
   1,147,480,520,256x = 2,940,869,648,519,898,771,488,768
5. Step 5: Solve for x
   x = 2,940,869,648,519,898,771,488,768/1,147,480,520,256
6. Step 6: Final answer
   x = 2,562,892,874,088.88