Finding the Third Proportional to 385.88 and 498.94

Step by Step Solution

1. Step 1: Write the proportion equation
   385.88 : 498.94 = 498.94 : x
2. Step 2: Convert to fraction form
   385.88/498.94 = 498.94/x
3. Step 3: Cross multiply
   385.88x = 498.94 × 498.94
4. Step 4: Simplify right side
   385.88x = 248,938.63
5. Step 5: Solve for x
   x = 248,938.63/385.88
6. Step 6: Final answer
   x = 645.13