Finding the Third Proportional to 147.76 and 222.59

Step by Step Solution

1. Step 1: Write the proportion equation
   147.76 : 222.59 = 222.59 : x
2. Step 2: Convert to fraction form
   147.76/222.59 = 222.59/x
3. Step 3: Cross multiply
   147.76x = 222.59 × 222.59
4. Step 4: Simplify right side
   147.76x = 49,547.11
5. Step 5: Solve for x
   x = 49,547.11/147.76
6. Step 6: Final answer
   x = 335.32