Finding the Third Proportional to 133,344 and 194,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,344 : 194,749.50 = 194,749.50 : x
2. Step 2: Convert to fraction form
   133,344/194,749.50 = 194,749.50/x
3. Step 3: Cross multiply
   133,344x = 194,749.50 × 194,749.50
4. Step 4: Simplify right side
   133,344x = 37,927,367,750.25
5. Step 5: Solve for x
   x = 37,927,367,750.25/133,344
6. Step 6: Final answer
   x = 284,432.50