Finding the Third Proportional to 146,292 and 196,110

Step by Step Solution

1. Step 1: Write the proportion equation
   146,292 : 196,110 = 196,110 : x
2. Step 2: Convert to fraction form
   146,292/196,110 = 196,110/x
3. Step 3: Cross multiply
   146,292x = 196,110 × 196,110
4. Step 4: Simplify right side
   146,292x = 38,459,132,100
5. Step 5: Solve for x
   x = 38,459,132,100/146,292
6. Step 6: Final answer
   x = 262,892.93