Finding the Third Proportional to 101,382,976 and 208,140,568

Step by Step Solution

1. Step 1: Write the proportion equation
   101,382,976 : 208,140,568 = 208,140,568 : x
2. Step 2: Convert to fraction form
   101,382,976/208,140,568 = 208,140,568/x
3. Step 3: Cross multiply
   101,382,976x = 208,140,568 × 208,140,568
4. Step 4: Simplify right side
   101,382,976x = 43,322,496,047,362,624
5. Step 5: Solve for x
   x = 43,322,496,047,362,624/101,382,976
6. Step 6: Final answer
   x = 427,315,292.53