Finding the Third Proportional to 96,780 and 146,142

Step by Step Solution

1. Step 1: Write the proportion equation
   96,780 : 146,142 = 146,142 : x
2. Step 2: Convert to fraction form
   96,780/146,142 = 146,142/x
3. Step 3: Cross multiply
   96,780x = 146,142 × 146,142
4. Step 4: Simplify right side
   96,780x = 21,357,484,164
5. Step 5: Solve for x
   x = 21,357,484,164/96,780
6. Step 6: Final answer
   x = 220,680.76