Finding the Third Proportional to 40,748 and 85,195

Step by Step Solution

1. Step 1: Write the proportion equation
   40,748 : 85,195 = 85,195 : x
2. Step 2: Convert to fraction form
   40,748/85,195 = 85,195/x
3. Step 3: Cross multiply
   40,748x = 85,195 × 85,195
4. Step 4: Simplify right side
   40,748x = 7,258,188,025
5. Step 5: Solve for x
   x = 7,258,188,025/40,748
6. Step 6: Final answer
   x = 178,123.79