Finding the Third Proportional to 65,434 and 141,230

Step by Step Solution

1. Step 1: Write the proportion equation
   65,434 : 141,230 = 141,230 : x
2. Step 2: Convert to fraction form
   65,434/141,230 = 141,230/x
3. Step 3: Cross multiply
   65,434x = 141,230 × 141,230
4. Step 4: Simplify right side
   65,434x = 19,945,912,900
5. Step 5: Solve for x
   x = 19,945,912,900/65,434
6. Step 6: Final answer
   x = 304,824.91