Finding the Third Proportional to 137,755,296,070 and 213,885,729,903

Step by Step Solution

1. Step 1: Write the proportion equation
   137,755,296,070 : 213,885,729,903 = 213,885,729,903 : x
2. Step 2: Convert to fraction form
   137,755,296,070/213,885,729,903 = 213,885,729,903/x
3. Step 3: Cross multiply
   137,755,296,070x = 213,885,729,903 × 213,885,729,903
4. Step 4: Simplify right side
   137,755,296,070x = 45,747,105,456,139,068,768,256
5. Step 5: Solve for x
   x = 45,747,105,456,139,068,768,256/137,755,296,070
6. Step 6: Final answer
   x = 332,089,631,115.84