Finding the Third Proportional to 133,593 and 178,789.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,593 : 178,789.50 = 178,789.50 : x
2. Step 2: Convert to fraction form
   133,593/178,789.50 = 178,789.50/x
3. Step 3: Cross multiply
   133,593x = 178,789.50 × 178,789.50
4. Step 4: Simplify right side
   133,593x = 31,965,685,310.25
5. Step 5: Solve for x
   x = 31,965,685,310.25/133,593
6. Step 6: Final answer
   x = 239,276.65