Finding the Third Proportional to 71,916 and 112,568

Step by Step Solution

1. Step 1: Write the proportion equation
   71,916 : 112,568 = 112,568 : x
2. Step 2: Convert to fraction form
   71,916/112,568 = 112,568/x
3. Step 3: Cross multiply
   71,916x = 112,568 × 112,568
4. Step 4: Simplify right side
   71,916x = 12,671,554,624
5. Step 5: Solve for x
   x = 12,671,554,624/71,916
6. Step 6: Final answer
   x = 176,199.38