Finding the Third Proportional to 378,563,105,032 and 588,047,886,568

Step by Step Solution

1. Step 1: Write the proportion equation
   378,563,105,032 : 588,047,886,568 = 588,047,886,568 : x
2. Step 2: Convert to fraction form
   378,563,105,032/588,047,886,568 = 588,047,886,568/x
3. Step 3: Cross multiply
   378,563,105,032x = 588,047,886,568 × 588,047,886,568
4. Step 4: Simplify right side
   378,563,105,032x = 345,800,316,897,091,376,906,240
5. Step 5: Solve for x
   x = 345,800,316,897,091,376,906,240/378,563,105,032
6. Step 6: Final answer
   x = 913,454,883,216.53