Finding the Third Proportional to 146,294 and 196,112

Step by Step Solution

1. Step 1: Write the proportion equation
   146,294 : 196,112 = 196,112 : x
2. Step 2: Convert to fraction form
   146,294/196,112 = 196,112/x
3. Step 3: Cross multiply
   146,294x = 196,112 × 196,112
4. Step 4: Simplify right side
   146,294x = 38,459,916,544
5. Step 5: Solve for x
   x = 38,459,916,544/146,294
6. Step 6: Final answer
   x = 262,894.70