Finding the Third Proportional to 65,503 and 141,466

Step by Step Solution

1. Step 1: Write the proportion equation
   65,503 : 141,466 = 141,466 : x
2. Step 2: Convert to fraction form
   65,503/141,466 = 141,466/x
3. Step 3: Cross multiply
   65,503x = 141,466 × 141,466
4. Step 4: Simplify right side
   65,503x = 20,012,629,156
5. Step 5: Solve for x
   x = 20,012,629,156/65,503
6. Step 6: Final answer
   x = 305,522.33