Finding the Third Proportional to 96,834 and 146,700

Step by Step Solution

1. Step 1: Write the proportion equation
   96,834 : 146,700 = 146,700 : x
2. Step 2: Convert to fraction form
   96,834/146,700 = 146,700/x
3. Step 3: Cross multiply
   96,834x = 146,700 × 146,700
4. Step 4: Simplify right side
   96,834x = 21,520,890,000
5. Step 5: Solve for x
   x = 21,520,890,000/96,834
6. Step 6: Final answer
   x = 222,245.18