Finding the Third Proportional to 40,322 and 85,524

Step by Step Solution

1. Step 1: Write the proportion equation
   40,322 : 85,524 = 85,524 : x
2. Step 2: Convert to fraction form
   40,322/85,524 = 85,524/x
3. Step 3: Cross multiply
   40,322x = 85,524 × 85,524
4. Step 4: Simplify right side
   40,322x = 7,314,354,576
5. Step 5: Solve for x
   x = 7,314,354,576/40,322
6. Step 6: Final answer
   x = 181,398.61