Finding the Third Proportional to 68,104,782,171 and 159,123,507,321

Step by Step Solution

1. Step 1: Write the proportion equation
   68,104,782,171 : 159,123,507,321 = 159,123,507,321 : x
2. Step 2: Convert to fraction form
   68,104,782,171/159,123,507,321 = 159,123,507,321/x
3. Step 3: Cross multiply
   68,104,782,171x = 159,123,507,321 × 159,123,507,321
4. Step 4: Simplify right side
   68,104,782,171x = 25,320,290,582,136,340,086,784
5. Step 5: Solve for x
   x = 25,320,290,582,136,340,086,784/68,104,782,171
6. Step 6: Final answer
   x = 371,784,326,665.36