Finding the Third Proportional to 95,164 and 142,191

Step by Step Solution

1. Step 1: Write the proportion equation
   95,164 : 142,191 = 142,191 : x
2. Step 2: Convert to fraction form
   95,164/142,191 = 142,191/x
3. Step 3: Cross multiply
   95,164x = 142,191 × 142,191
4. Step 4: Simplify right side
   95,164x = 20,218,280,481
5. Step 5: Solve for x
   x = 20,218,280,481/95,164
6. Step 6: Final answer
   x = 212,457.24