Finding the Third Proportional to 95,424 and 215,196

Step by Step Solution

1. Step 1: Write the proportion equation
   95,424 : 215,196 = 215,196 : x
2. Step 2: Convert to fraction form
   95,424/215,196 = 215,196/x
3. Step 3: Cross multiply
   95,424x = 215,196 × 215,196
4. Step 4: Simplify right side
   95,424x = 46,309,318,416
5. Step 5: Solve for x
   x = 46,309,318,416/95,424
6. Step 6: Final answer
   x = 485,300.54