Finding the Third Proportional to 85,536 and 206,064

Step by Step Solution

1. Step 1: Write the proportion equation
   85,536 : 206,064 = 206,064 : x
2. Step 2: Convert to fraction form
   85,536/206,064 = 206,064/x
3. Step 3: Cross multiply
   85,536x = 206,064 × 206,064
4. Step 4: Simplify right side
   85,536x = 42,462,372,096
5. Step 5: Solve for x
   x = 42,462,372,096/85,536
6. Step 6: Final answer
   x = 496,426.91