Finding the Third Proportional to 96,196 and 206,216

Step by Step Solution

1. Step 1: Write the proportion equation
   96,196 : 206,216 = 206,216 : x
2. Step 2: Convert to fraction form
   96,196/206,216 = 206,216/x
3. Step 3: Cross multiply
   96,196x = 206,216 × 206,216
4. Step 4: Simplify right side
   96,196x = 42,525,038,656
5. Step 5: Solve for x
   x = 42,525,038,656/96,196
6. Step 6: Final answer
   x = 442,066.60