Finding the Third Proportional to 40,920 and 85,476

Step by Step Solution

1. Step 1: Write the proportion equation
   40,920 : 85,476 = 85,476 : x
2. Step 2: Convert to fraction form
   40,920/85,476 = 85,476/x
3. Step 3: Cross multiply
   40,920x = 85,476 × 85,476
4. Step 4: Simplify right side
   40,920x = 7,306,146,576
5. Step 5: Solve for x
   x = 7,306,146,576/40,920
6. Step 6: Final answer
   x = 178,547.08