Finding the Third Proportional to 256,221,439,010 and 551,003,323,543

Step by Step Solution

1. Step 1: Write the proportion equation
   256,221,439,010 : 551,003,323,543 = 551,003,323,543 : x
2. Step 2: Convert to fraction form
   256,221,439,010/551,003,323,543 = 551,003,323,543/x
3. Step 3: Cross multiply
   256,221,439,010x = 551,003,323,543 × 551,003,323,543
4. Step 4: Simplify right side
   256,221,439,010x = 303,604,662,555,431,938,293,760
5. Step 5: Solve for x
   x = 303,604,662,555,431,938,293,760/256,221,439,010
6. Step 6: Final answer
   x = 1,184,930,752,588.52