Finding the Third Proportional to 91,826 and 141,789

Step by Step Solution

1. Step 1: Write the proportion equation
   91,826 : 141,789 = 141,789 : x
2. Step 2: Convert to fraction form
   91,826/141,789 = 141,789/x
3. Step 3: Cross multiply
   91,826x = 141,789 × 141,789
4. Step 4: Simplify right side
   91,826x = 20,104,120,521
5. Step 5: Solve for x
   x = 20,104,120,521/91,826
6. Step 6: Final answer
   x = 218,937.13