Finding the Third Proportional to 71,636 and 156,568

Step by Step Solution

1. Step 1: Write the proportion equation
   71,636 : 156,568 = 156,568 : x
2. Step 2: Convert to fraction form
   71,636/156,568 = 156,568/x
3. Step 3: Cross multiply
   71,636x = 156,568 × 156,568
4. Step 4: Simplify right side
   71,636x = 24,513,538,624
5. Step 5: Solve for x
   x = 24,513,538,624/71,636
6. Step 6: Final answer
   x = 342,195.80