Finding the Third Proportional to 79,674 and 119,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,674 : 119,695.50 = 119,695.50 : x
2. Step 2: Convert to fraction form
   79,674/119,695.50 = 119,695.50/x
3. Step 3: Cross multiply
   79,674x = 119,695.50 × 119,695.50
4. Step 4: Simplify right side
   79,674x = 14,327,012,720.25
5. Step 5: Solve for x
   x = 14,327,012,720.25/79,674
6. Step 6: Final answer
   x = 179,820.43