Finding the Third Proportional to 78,250 and 166,196

Step by Step Solution

1. Step 1: Write the proportion equation
   78,250 : 166,196 = 166,196 : x
2. Step 2: Convert to fraction form
   78,250/166,196 = 166,196/x
3. Step 3: Cross multiply
   78,250x = 166,196 × 166,196
4. Step 4: Simplify right side
   78,250x = 27,621,110,416
5. Step 5: Solve for x
   x = 27,621,110,416/78,250
6. Step 6: Final answer
   x = 352,985.44