Finding the Third Proportional to 40,215 and 85,290

Step by Step Solution

1. Step 1: Write the proportion equation
   40,215 : 85,290 = 85,290 : x
2. Step 2: Convert to fraction form
   40,215/85,290 = 85,290/x
3. Step 3: Cross multiply
   40,215x = 85,290 × 85,290
4. Step 4: Simplify right side
   40,215x = 7,274,384,100
5. Step 5: Solve for x
   x = 7,274,384,100/40,215
6. Step 6: Final answer
   x = 180,887.33