Finding the Third Proportional to 133,049.25 and 194,620.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,049.25 : 194,620.50 = 194,620.50 : x
2. Step 2: Convert to fraction form
   133,049.25/194,620.50 = 194,620.50/x
3. Step 3: Cross multiply
   133,049.25x = 194,620.50 × 194,620.50
4. Step 4: Simplify right side
   133,049.25x = 37,877,139,020.25
5. Step 5: Solve for x
   x = 37,877,139,020.25/133,049.25
6. Step 6: Final answer
   x = 284,685.10