Finding the Third Proportional to 39,106 and 85,196

Step by Step Solution

1. Step 1: Write the proportion equation
   39,106 : 85,196 = 85,196 : x
2. Step 2: Convert to fraction form
   39,106/85,196 = 85,196/x
3. Step 3: Cross multiply
   39,106x = 85,196 × 85,196
4. Step 4: Simplify right side
   39,106x = 7,258,358,416
5. Step 5: Solve for x
   x = 7,258,358,416/39,106
6. Step 6: Final answer
   x = 185,607.28