Finding the Third Proportional to 641,754,768 and 1,406,538,128

Step by Step Solution

1. Step 1: Write the proportion equation
   641,754,768 : 1,406,538,128 = 1,406,538,128 : x
2. Step 2: Convert to fraction form
   641,754,768/1,406,538,128 = 1,406,538,128/x
3. Step 3: Cross multiply
   641,754,768x = 1,406,538,128 × 1,406,538,128
4. Step 4: Simplify right side
   641,754,768x = 1,978,349,505,517,744,384
5. Step 5: Solve for x
   x = 1,978,349,505,517,744,384/641,754,768
6. Step 6: Final answer
   x = 3,082,718,826.82