Finding the Third Proportional to 105,196 and 141,738

Step by Step Solution

1. Step 1: Write the proportion equation
   105,196 : 141,738 = 141,738 : x
2. Step 2: Convert to fraction form
   105,196/141,738 = 141,738/x
3. Step 3: Cross multiply
   105,196x = 141,738 × 141,738
4. Step 4: Simplify right side
   105,196x = 20,089,660,644
5. Step 5: Solve for x
   x = 20,089,660,644/105,196
6. Step 6: Final answer
   x = 190,973.62