Finding the Third Proportional to 80,258 and 127,196

Step by Step Solution

1. Step 1: Write the proportion equation
   80,258 : 127,196 = 127,196 : x
2. Step 2: Convert to fraction form
   80,258/127,196 = 127,196/x
3. Step 3: Cross multiply
   80,258x = 127,196 × 127,196
4. Step 4: Simplify right side
   80,258x = 16,178,822,416
5. Step 5: Solve for x
   x = 16,178,822,416/80,258
6. Step 6: Final answer
   x = 201,585.17