Finding the Third Proportional to 79,814 and 119,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,814 : 119,501.50 = 119,501.50 : x
2. Step 2: Convert to fraction form
   79,814/119,501.50 = 119,501.50/x
3. Step 3: Cross multiply
   79,814x = 119,501.50 × 119,501.50
4. Step 4: Simplify right side
   79,814x = 14,280,608,502.25
5. Step 5: Solve for x
   x = 14,280,608,502.25/79,814
6. Step 6: Final answer
   x = 178,923.60