Finding the Third Proportional to 498.34 and 785.95

Step by Step Solution

1. Step 1: Write the proportion equation
   498.34 : 785.95 = 785.95 : x
2. Step 2: Convert to fraction form
   498.34/785.95 = 785.95/x
3. Step 3: Cross multiply
   498.34x = 785.95 × 785.95
4. Step 4: Simplify right side
   498.34x = 617,722.31
5. Step 5: Solve for x
   x = 617,722.31/498.34
6. Step 6: Final answer
   x = 1,239.56