Finding the Third Proportional to 78,877 and 171,132

Step by Step Solution

1. Step 1: Write the proportion equation
   78,877 : 171,132 = 171,132 : x
2. Step 2: Convert to fraction form
   78,877/171,132 = 171,132/x
3. Step 3: Cross multiply
   78,877x = 171,132 × 171,132
4. Step 4: Simplify right side
   78,877x = 29,286,161,424
5. Step 5: Solve for x
   x = 29,286,161,424/78,877
6. Step 6: Final answer
   x = 371,288.99