Finding the Third Proportional to 65,961 and 146,686

Step by Step Solution

1. Step 1: Write the proportion equation
   65,961 : 146,686 = 146,686 : x
2. Step 2: Convert to fraction form
   65,961/146,686 = 146,686/x
3. Step 3: Cross multiply
   65,961x = 146,686 × 146,686
4. Step 4: Simplify right side
   65,961x = 21,516,782,596
5. Step 5: Solve for x
   x = 21,516,782,596/65,961
6. Step 6: Final answer
   x = 326,204.61