Finding the Third Proportional to 182,181 and 288,031.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,181 : 288,031.50 = 288,031.50 : x
2. Step 2: Convert to fraction form
   182,181/288,031.50 = 288,031.50/x
3. Step 3: Cross multiply
   182,181x = 288,031.50 × 288,031.50
4. Step 4: Simplify right side
   182,181x = 82,962,144,992.25
5. Step 5: Solve for x
   x = 82,962,144,992.25/182,181
6. Step 6: Final answer
   x = 455,383.08