Finding the Third Proportional to 67.83 and 147.68

Step by Step Solution

1. Step 1: Write the proportion equation
   67.83 : 147.68 = 147.68 : x
2. Step 2: Convert to fraction form
   67.83/147.68 = 147.68/x
3. Step 3: Cross multiply
   67.83x = 147.68 × 147.68
4. Step 4: Simplify right side
   67.83x = 21,810.16
5. Step 5: Solve for x
   x = 21,810.16/67.83
6. Step 6: Final answer
   x = 321.54