Finding the Third Proportional to 65,895 and 141,796

Step by Step Solution

1. Step 1: Write the proportion equation
   65,895 : 141,796 = 141,796 : x
2. Step 2: Convert to fraction form
   65,895/141,796 = 141,796/x
3. Step 3: Cross multiply
   65,895x = 141,796 × 141,796
4. Step 4: Simplify right side
   65,895x = 20,106,105,616
5. Step 5: Solve for x
   x = 20,106,105,616/65,895
6. Step 6: Final answer
   x = 305,123.39