Finding the Third Proportional to 65,730 and 141,636

Step by Step Solution

1. Step 1: Write the proportion equation
   65,730 : 141,636 = 141,636 : x
2. Step 2: Convert to fraction form
   65,730/141,636 = 141,636/x
3. Step 3: Cross multiply
   65,730x = 141,636 × 141,636
4. Step 4: Simplify right side
   65,730x = 20,060,756,496
5. Step 5: Solve for x
   x = 20,060,756,496/65,730
6. Step 6: Final answer
   x = 305,199.40