Finding the Third Proportional to 95,196 and 209,077

Step by Step Solution

1. Step 1: Write the proportion equation
   95,196 : 209,077 = 209,077 : x
2. Step 2: Convert to fraction form
   95,196/209,077 = 209,077/x
3. Step 3: Cross multiply
   95,196x = 209,077 × 209,077
4. Step 4: Simplify right side
   95,196x = 43,713,191,929
5. Step 5: Solve for x
   x = 43,713,191,929/95,196
6. Step 6: Final answer
   x = 459,191.48