Finding the Third Proportional to 65,384 and 141,604

Step by Step Solution

1. Step 1: Write the proportion equation
   65,384 : 141,604 = 141,604 : x
2. Step 2: Convert to fraction form
   65,384/141,604 = 141,604/x
3. Step 3: Cross multiply
   65,384x = 141,604 × 141,604
4. Step 4: Simplify right side
   65,384x = 20,051,692,816
5. Step 5: Solve for x
   x = 20,051,692,816/65,384
6. Step 6: Final answer
   x = 306,675.84