Finding the Third Proportional to 91,820 and 141,780

Step by Step Solution

1. Step 1: Write the proportion equation
   91,820 : 141,780 = 141,780 : x
2. Step 2: Convert to fraction form
   91,820/141,780 = 141,780/x
3. Step 3: Cross multiply
   91,820x = 141,780 × 141,780
4. Step 4: Simplify right side
   91,820x = 20,101,568,400
5. Step 5: Solve for x
   x = 20,101,568,400/91,820
6. Step 6: Final answer
   x = 218,923.64