Finding the Third Proportional to 65,864 and 141,732

Step by Step Solution

1. Step 1: Write the proportion equation
   65,864 : 141,732 = 141,732 : x
2. Step 2: Convert to fraction form
   65,864/141,732 = 141,732/x
3. Step 3: Cross multiply
   65,864x = 141,732 × 141,732
4. Step 4: Simplify right side
   65,864x = 20,087,959,824
5. Step 5: Solve for x
   x = 20,087,959,824/65,864
6. Step 6: Final answer
   x = 304,991.49