Finding the Third Proportional to 68,104,782,165 and 159,123,507,306

Step by Step Solution

1. Step 1: Write the proportion equation
   68,104,782,165 : 159,123,507,306 = 159,123,507,306 : x
2. Step 2: Convert to fraction form
   68,104,782,165/159,123,507,306 = 159,123,507,306/x
3. Step 3: Cross multiply
   68,104,782,165x = 159,123,507,306 × 159,123,507,306
4. Step 4: Simplify right side
   68,104,782,165x = 25,320,290,577,362,634,932,224
5. Step 5: Solve for x
   x = 25,320,290,577,362,634,932,224/68,104,782,165
6. Step 6: Final answer
   x = 371,784,326,628.02