Finding the Third Proportional to 249,866,976,957 and 380,655,055,686

Step by Step Solution

1. Step 1: Write the proportion equation
   249,866,976,957 : 380,655,055,686 = 380,655,055,686 : x
2. Step 2: Convert to fraction form
   249,866,976,957/380,655,055,686 = 380,655,055,686/x
3. Step 3: Cross multiply
   249,866,976,957x = 380,655,055,686 × 380,655,055,686
4. Step 4: Simplify right side
   249,866,976,957x = 144,898,271,419,311,753,003,008
5. Step 5: Solve for x
   x = 144,898,271,419,311,753,003,008/249,866,976,957
6. Step 6: Final answer
   x = 579,901,646,804.04