Finding the Third Proportional to 498.84 and 729.56

Step by Step Solution

1. Step 1: Write the proportion equation
   498.84 : 729.56 = 729.56 : x
2. Step 2: Convert to fraction form
   498.84/729.56 = 729.56/x
3. Step 3: Cross multiply
   498.84x = 729.56 × 729.56
4. Step 4: Simplify right side
   498.84x = 532,261.44
5. Step 5: Solve for x
   x = 532,261.44/498.84
6. Step 6: Final answer
   x = 1,066.99