Finding the Third Proportional to 137,755,296,087 and 213,885,729,927

Step by Step Solution

1. Step 1: Write the proportion equation
   137,755,296,087 : 213,885,729,927 = 213,885,729,927 : x
2. Step 2: Convert to fraction form
   137,755,296,087/213,885,729,927 = 213,885,729,927/x
3. Step 3: Cross multiply
   137,755,296,087x = 213,885,729,927 × 213,885,729,927
4. Step 4: Simplify right side
   137,755,296,087x = 45,747,105,466,405,584,109,568
5. Step 5: Solve for x
   x = 45,747,105,466,405,584,109,568/137,755,296,087
6. Step 6: Final answer
   x = 332,089,631,149.38