Finding the Third Proportional to 133,942.50 and 182,404.25

Step by Step Solution

1. Step 1: Write the proportion equation
   133,942.50 : 182,404.25 = 182,404.25 : x
2. Step 2: Convert to fraction form
   133,942.50/182,404.25 = 182,404.25/x
3. Step 3: Cross multiply
   133,942.50x = 182,404.25 × 182,404.25
4. Step 4: Simplify right side
   133,942.50x = 33,271,310,418.06
5. Step 5: Solve for x
   x = 33,271,310,418.06/133,942.50
6. Step 6: Final answer
   x = 248,399.95