Finding the Third Proportional to 105,214 and 141,756

Step by Step Solution

1. Step 1: Write the proportion equation
   105,214 : 141,756 = 141,756 : x
2. Step 2: Convert to fraction form
   105,214/141,756 = 141,756/x
3. Step 3: Cross multiply
   105,214x = 141,756 × 141,756
4. Step 4: Simplify right side
   105,214x = 20,094,763,536
5. Step 5: Solve for x
   x = 20,094,763,536/105,214
6. Step 6: Final answer
   x = 190,989.45