Finding the Third Proportional to 78,861 and 113,357

Step by Step Solution

1. Step 1: Write the proportion equation
   78,861 : 113,357 = 113,357 : x
2. Step 2: Convert to fraction form
   78,861/113,357 = 113,357/x
3. Step 3: Cross multiply
   78,861x = 113,357 × 113,357
4. Step 4: Simplify right side
   78,861x = 12,849,809,449
5. Step 5: Solve for x
   x = 12,849,809,449/78,861
6. Step 6: Final answer
   x = 162,942.51