Finding the Third Proportional to 146.86 and 319.02

Step by Step Solution

1. Step 1: Write the proportion equation
   146.86 : 319.02 = 319.02 : x
2. Step 2: Convert to fraction form
   146.86/319.02 = 319.02/x
3. Step 3: Cross multiply
   146.86x = 319.02 × 319.02
4. Step 4: Simplify right side
   146.86x = 101,775.95
5. Step 5: Solve for x
   x = 101,775.95/146.86
6. Step 6: Final answer
   x = 693.02