Finding the Third Proportional to 65,982 and 146,685

Step by Step Solution

1. Step 1: Write the proportion equation
   65,982 : 146,685 = 146,685 : x
2. Step 2: Convert to fraction form
   65,982/146,685 = 146,685/x
3. Step 3: Cross multiply
   65,982x = 146,685 × 146,685
4. Step 4: Simplify right side
   65,982x = 21,516,489,225
5. Step 5: Solve for x
   x = 21,516,489,225/65,982
6. Step 6: Final answer
   x = 326,096.35