Finding the Third Proportional to 127,326 and 193,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,326 : 193,756.50 = 193,756.50 : x
2. Step 2: Convert to fraction form
   127,326/193,756.50 = 193,756.50/x
3. Step 3: Cross multiply
   127,326x = 193,756.50 × 193,756.50
4. Step 4: Simplify right side
   127,326x = 37,541,581,292.25
5. Step 5: Solve for x
   x = 37,541,581,292.25/127,326
6. Step 6: Final answer
   x = 294,846.15