Finding the Third Proportional to 79,772 and 116,196

Step by Step Solution

1. Step 1: Write the proportion equation
   79,772 : 116,196 = 116,196 : x
2. Step 2: Convert to fraction form
   79,772/116,196 = 116,196/x
3. Step 3: Cross multiply
   79,772x = 116,196 × 116,196
4. Step 4: Simplify right side
   79,772x = 13,501,510,416
5. Step 5: Solve for x
   x = 13,501,510,416/79,772
6. Step 6: Final answer
   x = 169,251.25