Finding the Third Proportional to 91,837 and 141,849

Step by Step Solution

1. Step 1: Write the proportion equation
   91,837 : 141,849 = 141,849 : x
2. Step 2: Convert to fraction form
   91,837/141,849 = 141,849/x
3. Step 3: Cross multiply
   91,837x = 141,849 × 141,849
4. Step 4: Simplify right side
   91,837x = 20,121,138,801
5. Step 5: Solve for x
   x = 20,121,138,801/91,837
6. Step 6: Final answer
   x = 219,096.21