Finding the Third Proportional to 238.78 and 368.72

Step by Step Solution

1. Step 1: Write the proportion equation
   238.78 : 368.72 = 368.72 : x
2. Step 2: Convert to fraction form
   238.78/368.72 = 368.72/x
3. Step 3: Cross multiply
   238.78x = 368.72 × 368.72
4. Step 4: Simplify right side
   238.78x = 135,953.52
5. Step 5: Solve for x
   x = 135,953.52/238.78
6. Step 6: Final answer
   x = 569.36