Finding the Third Proportional to 65,420,205,436 and 142,302,707,831

Step by Step Solution

1. Step 1: Write the proportion equation
   65,420,205,436 : 142,302,707,831 = 142,302,707,831 : x
2. Step 2: Convert to fraction form
   65,420,205,436/142,302,707,831 = 142,302,707,831/x
3. Step 3: Cross multiply
   65,420,205,436x = 142,302,707,831 × 142,302,707,831
4. Step 4: Simplify right side
   65,420,205,436x = 20,250,060,656,034,948,579,328
5. Step 5: Solve for x
   x = 20,250,060,656,034,948,579,328/65,420,205,436
6. Step 6: Final answer
   x = 309,538,322,618.77