Finding the Third Proportional to 108,581 and 156,642

Step by Step Solution

1. Step 1: Write the proportion equation
   108,581 : 156,642 = 156,642 : x
2. Step 2: Convert to fraction form
   108,581/156,642 = 156,642/x
3. Step 3: Cross multiply
   108,581x = 156,642 × 156,642
4. Step 4: Simplify right side
   108,581x = 24,536,716,164
5. Step 5: Solve for x
   x = 24,536,716,164/108,581
6. Step 6: Final answer
   x = 225,976.15