Finding the Third Proportional to 72.88 and 184.94

Step by Step Solution

1. Step 1: Write the proportion equation
   72.88 : 184.94 = 184.94 : x
2. Step 2: Convert to fraction form
   72.88/184.94 = 184.94/x
3. Step 3: Cross multiply
   72.88x = 184.94 × 184.94
4. Step 4: Simplify right side
   72.88x = 34,201.88
5. Step 5: Solve for x
   x = 34,201.88/72.88
6. Step 6: Final answer
   x = 469.32