Finding the Third Proportional to 147.37 and 319.89

Step by Step Solution

1. Step 1: Write the proportion equation
   147.37 : 319.89 = 319.89 : x
2. Step 2: Convert to fraction form
   147.37/319.89 = 319.89/x
3. Step 3: Cross multiply
   147.37x = 319.89 × 319.89
4. Step 4: Simplify right side
   147.37x = 102,327.51
5. Step 5: Solve for x
   x = 102,327.51/147.37
6. Step 6: Final answer
   x = 694.38