Finding the Third Proportional to 200,892 and 295,290

Step by Step Solution

1. Step 1: Write the proportion equation
   200,892 : 295,290 = 295,290 : x
2. Step 2: Convert to fraction form
   200,892/295,290 = 295,290/x
3. Step 3: Cross multiply
   200,892x = 295,290 × 295,290
4. Step 4: Simplify right side
   200,892x = 87,196,184,100
5. Step 5: Solve for x
   x = 87,196,184,100/200,892
6. Step 6: Final answer
   x = 434,045.08