Finding the Third Proportional to 91,820 and 141,886

Step by Step Solution

1. Step 1: Write the proportion equation
   91,820 : 141,886 = 141,886 : x
2. Step 2: Convert to fraction form
   91,820/141,886 = 141,886/x
3. Step 3: Cross multiply
   91,820x = 141,886 × 141,886
4. Step 4: Simplify right side
   91,820x = 20,131,636,996
5. Step 5: Solve for x
   x = 20,131,636,996/91,820
6. Step 6: Final answer
   x = 219,251.11