Finding the Third Proportional to 91,749 and 141,799

Step by Step Solution

1. Step 1: Write the proportion equation
   91,749 : 141,799 = 141,799 : x
2. Step 2: Convert to fraction form
   91,749/141,799 = 141,799/x
3. Step 3: Cross multiply
   91,749x = 141,799 × 141,799
4. Step 4: Simplify right side
   91,749x = 20,106,956,401
5. Step 5: Solve for x
   x = 20,106,956,401/91,749
6. Step 6: Final answer
   x = 219,151.78