Finding the Third Proportional to 127,365 and 196,391.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,365 : 196,391.50 = 196,391.50 : x
2. Step 2: Convert to fraction form
   127,365/196,391.50 = 196,391.50/x
3. Step 3: Cross multiply
   127,365x = 196,391.50 × 196,391.50
4. Step 4: Simplify right side
   127,365x = 38,569,621,272.25
5. Step 5: Solve for x
   x = 38,569,621,272.25/127,365
6. Step 6: Final answer
   x = 302,827.47