Finding the Third Proportional to 146,738 and 196,550

Step by Step Solution

1. Step 1: Write the proportion equation
   146,738 : 196,550 = 196,550 : x
2. Step 2: Convert to fraction form
   146,738/196,550 = 196,550/x
3. Step 3: Cross multiply
   146,738x = 196,550 × 196,550
4. Step 4: Simplify right side
   146,738x = 38,631,902,500
5. Step 5: Solve for x
   x = 38,631,902,500/146,738
6. Step 6: Final answer
   x = 263,271.29