Finding the Third Proportional to 316,558,634,992 and 682,705,692,896

Step by Step Solution

1. Step 1: Write the proportion equation
   316,558,634,992 : 682,705,692,896 = 682,705,692,896 : x
2. Step 2: Convert to fraction form
   316,558,634,992/682,705,692,896 = 682,705,692,896/x
3. Step 3: Cross multiply
   316,558,634,992x = 682,705,692,896 × 682,705,692,896
4. Step 4: Simplify right side
   316,558,634,992x = 466,087,063,112,607,481,200,640
5. Step 5: Solve for x
   x = 466,087,063,112,607,481,200,640/316,558,634,992
6. Step 6: Final answer
   x = 1,472,356,181,736.71