Finding the Third Proportional to 137,755,296,067.50 and 213,885,729,900

Step by Step Solution

1. Step 1: Write the proportion equation
   137,755,296,067.50 : 213,885,729,900 = 213,885,729,900 : x
2. Step 2: Convert to fraction form
   137,755,296,067.50/213,885,729,900 = 213,885,729,900/x
3. Step 3: Cross multiply
   137,755,296,067.50x = 213,885,729,900 × 213,885,729,900
4. Step 4: Simplify right side
   137,755,296,067.50x = 45,747,105,454,855,754,350,592
5. Step 5: Solve for x
   x = 45,747,105,454,855,754,350,592/137,755,296,067.50
6. Step 6: Final answer
   x = 332,089,631,112.55