Finding the Third Proportional to 156.50 and 238.75

Step by Step Solution

1. Step 1: Write the proportion equation
   156.50 : 238.75 = 238.75 : x
2. Step 2: Convert to fraction form
   156.50/238.75 = 238.75/x
3. Step 3: Cross multiply
   156.50x = 238.75 × 238.75
4. Step 4: Simplify right side
   156.50x = 57,001.56
5. Step 5: Solve for x
   x = 57,001.56/156.50
6. Step 6: Final answer
   x = 364.23