Finding the Third Proportional to 91,747 and 141,796

Step by Step Solution

1. Step 1: Write the proportion equation
   91,747 : 141,796 = 141,796 : x
2. Step 2: Convert to fraction form
   91,747/141,796 = 141,796/x
3. Step 3: Cross multiply
   91,747x = 141,796 × 141,796
4. Step 4: Simplify right side
   91,747x = 20,106,105,616
5. Step 5: Solve for x
   x = 20,106,105,616/91,747
6. Step 6: Final answer
   x = 219,147.28