Finding the Third Proportional to 95,084 and 205,216

Step by Step Solution

1. Step 1: Write the proportion equation
   95,084 : 205,216 = 205,216 : x
2. Step 2: Convert to fraction form
   95,084/205,216 = 205,216/x
3. Step 3: Cross multiply
   95,084x = 205,216 × 205,216
4. Step 4: Simplify right side
   95,084x = 42,113,606,656
5. Step 5: Solve for x
   x = 42,113,606,656/95,084
6. Step 6: Final answer
   x = 442,909.50