Finding the Third Proportional to 127,752 and 196,092

Step by Step Solution

1. Step 1: Write the proportion equation
   127,752 : 196,092 = 196,092 : x
2. Step 2: Convert to fraction form
   127,752/196,092 = 196,092/x
3. Step 3: Cross multiply
   127,752x = 196,092 × 196,092
4. Step 4: Simplify right side
   127,752x = 38,452,072,464
5. Step 5: Solve for x
   x = 38,452,072,464/127,752
6. Step 6: Final answer
   x = 300,989.98