Finding the Third Proportional to 65,838 and 141,670

Step by Step Solution

1. Step 1: Write the proportion equation
   65,838 : 141,670 = 141,670 : x
2. Step 2: Convert to fraction form
   65,838/141,670 = 141,670/x
3. Step 3: Cross multiply
   65,838x = 141,670 × 141,670
4. Step 4: Simplify right side
   65,838x = 20,070,388,900
5. Step 5: Solve for x
   x = 20,070,388,900/65,838
6. Step 6: Final answer
   x = 304,845.06