Finding the Third Proportional to 65,646 and 140,633.25

Step by Step Solution

1. Step 1: Write the proportion equation
   65,646 : 140,633.25 = 140,633.25 : x
2. Step 2: Convert to fraction form
   65,646/140,633.25 = 140,633.25/x
3. Step 3: Cross multiply
   65,646x = 140,633.25 × 140,633.25
4. Step 4: Simplify right side
   65,646x = 19,777,711,005.56
5. Step 5: Solve for x
   x = 19,777,711,005.56/65,646
6. Step 6: Final answer
   x = 301,278.23