Finding the Third Proportional to 91,648 and 141,905

Step by Step Solution

1. Step 1: Write the proportion equation
   91,648 : 141,905 = 141,905 : x
2. Step 2: Convert to fraction form
   91,648/141,905 = 141,905/x
3. Step 3: Cross multiply
   91,648x = 141,905 × 141,905
4. Step 4: Simplify right side
   91,648x = 20,137,029,025
5. Step 5: Solve for x
   x = 20,137,029,025/91,648
6. Step 6: Final answer
   x = 219,721.42