Finding the Third Proportional to 293.50 and 492.25

Step by Step Solution

1. Step 1: Write the proportion equation
   293.50 : 492.25 = 492.25 : x
2. Step 2: Convert to fraction form
   293.50/492.25 = 492.25/x
3. Step 3: Cross multiply
   293.50x = 492.25 × 492.25
4. Step 4: Simplify right side
   293.50x = 242,310.06
5. Step 5: Solve for x
   x = 242,310.06/293.50
6. Step 6: Final answer
   x = 825.59