Finding the Third Proportional to 80,066 and 185,333

Step by Step Solution

1. Step 1: Write the proportion equation
   80,066 : 185,333 = 185,333 : x
2. Step 2: Convert to fraction form
   80,066/185,333 = 185,333/x
3. Step 3: Cross multiply
   80,066x = 185,333 × 185,333
4. Step 4: Simplify right side
   80,066x = 34,348,320,889
5. Step 5: Solve for x
   x = 34,348,320,889/80,066
6. Step 6: Final answer
   x = 429,000.09