Finding the Third Proportional to 69.82 and 152.30

Step by Step Solution

1. Step 1: Write the proportion equation
   69.82 : 152.30 = 152.30 : x
2. Step 2: Convert to fraction form
   69.82/152.30 = 152.30/x
3. Step 3: Cross multiply
   69.82x = 152.30 × 152.30
4. Step 4: Simplify right side
   69.82x = 23,194.34
5. Step 5: Solve for x
   x = 23,194.34/69.82
6. Step 6: Final answer
   x = 332.20