Finding the Third Proportional to 65,128 and 141,920

Step by Step Solution

1. Step 1: Write the proportion equation
   65,128 : 141,920 = 141,920 : x
2. Step 2: Convert to fraction form
   65,128/141,920 = 141,920/x
3. Step 3: Cross multiply
   65,128x = 141,920 × 141,920
4. Step 4: Simplify right side
   65,128x = 20,141,286,400
5. Step 5: Solve for x
   x = 20,141,286,400/65,128
6. Step 6: Final answer
   x = 309,256.95