Finding the Third Proportional to 498.25 and 785.88

Step by Step Solution

1. Step 1: Write the proportion equation
   498.25 : 785.88 = 785.88 : x
2. Step 2: Convert to fraction form
   498.25/785.88 = 785.88/x
3. Step 3: Cross multiply
   498.25x = 785.88 × 785.88
4. Step 4: Simplify right side
   498.25x = 617,599.52
5. Step 5: Solve for x
   x = 617,599.52/498.25
6. Step 6: Final answer
   x = 1,239.54