Finding the Third Proportional to 100,960 and 156,766

Step by Step Solution

1. Step 1: Write the proportion equation
   100,960 : 156,766 = 156,766 : x
2. Step 2: Convert to fraction form
   100,960/156,766 = 156,766/x
3. Step 3: Cross multiply
   100,960x = 156,766 × 156,766
4. Step 4: Simplify right side
   100,960x = 24,575,578,756
5. Step 5: Solve for x
   x = 24,575,578,756/100,960
6. Step 6: Final answer
   x = 243,418.97