Finding the Third Proportional to 65,427 and 141,306

Step by Step Solution

1. Step 1: Write the proportion equation
   65,427 : 141,306 = 141,306 : x
2. Step 2: Convert to fraction form
   65,427/141,306 = 141,306/x
3. Step 3: Cross multiply
   65,427x = 141,306 × 141,306
4. Step 4: Simplify right side
   65,427x = 19,967,385,636
5. Step 5: Solve for x
   x = 19,967,385,636/65,427
6. Step 6: Final answer
   x = 305,185.71