Finding the Third Proportional to 72.89 and 188.30

Step by Step Solution

1. Step 1: Write the proportion equation
   72.89 : 188.30 = 188.30 : x
2. Step 2: Convert to fraction form
   72.89/188.30 = 188.30/x
3. Step 3: Cross multiply
   72.89x = 188.30 × 188.30
4. Step 4: Simplify right side
   72.89x = 35,455.71
5. Step 5: Solve for x
   x = 35,455.71/72.89
6. Step 6: Final answer
   x = 486.42