Finding the Third Proportional to 156.09 and 233.30

Step by Step Solution

1. Step 1: Write the proportion equation
   156.09 : 233.30 = 233.30 : x
2. Step 2: Convert to fraction form
   156.09/233.30 = 233.30/x
3. Step 3: Cross multiply
   156.09x = 233.30 × 233.30
4. Step 4: Simplify right side
   156.09x = 54,427.43
5. Step 5: Solve for x
   x = 54,427.43/156.09
6. Step 6: Final answer
   x = 348.68