Finding the Third Proportional to 83,168 and 122,196

Step by Step Solution

1. Step 1: Write the proportion equation
   83,168 : 122,196 = 122,196 : x
2. Step 2: Convert to fraction form
   83,168/122,196 = 122,196/x
3. Step 3: Cross multiply
   83,168x = 122,196 × 122,196
4. Step 4: Simplify right side
   83,168x = 14,931,862,416
5. Step 5: Solve for x
   x = 14,931,862,416/83,168
6. Step 6: Final answer
   x = 179,538.55