Finding the Third Proportional to 80,064 and 185,544

Step by Step Solution

1. Step 1: Write the proportion equation
   80,064 : 185,544 = 185,544 : x
2. Step 2: Convert to fraction form
   80,064/185,544 = 185,544/x
3. Step 3: Cross multiply
   80,064x = 185,544 × 185,544
4. Step 4: Simplify right side
   80,064x = 34,426,575,936
5. Step 5: Solve for x
   x = 34,426,575,936/80,064
6. Step 6: Final answer
   x = 429,988.21