Finding the Third Proportional to 498.84 and 1,054.69

Step by Step Solution

1. Step 1: Write the proportion equation
   498.84 : 1,054.69 = 1,054.69 : x
2. Step 2: Convert to fraction form
   498.84/1,054.69 = 1,054.69/x
3. Step 3: Cross multiply
   498.84x = 1,054.69 × 1,054.69
4. Step 4: Simplify right side
   498.84x = 1,112,365.72
5. Step 5: Solve for x
   x = 1,112,365.72/498.84
6. Step 6: Final answer
   x = 2,229.89