Finding the Third Proportional to 127,550 and 196,185

Step by Step Solution

1. Step 1: Write the proportion equation
   127,550 : 196,185 = 196,185 : x
2. Step 2: Convert to fraction form
   127,550/196,185 = 196,185/x
3. Step 3: Cross multiply
   127,550x = 196,185 × 196,185
4. Step 4: Simplify right side
   127,550x = 38,488,554,225
5. Step 5: Solve for x
   x = 38,488,554,225/127,550
6. Step 6: Final answer
   x = 301,752.68