Finding the Third Proportional to 105,164 and 141,706

Step by Step Solution

1. Step 1: Write the proportion equation
   105,164 : 141,706 = 141,706 : x
2. Step 2: Convert to fraction form
   105,164/141,706 = 141,706/x
3. Step 3: Cross multiply
   105,164x = 141,706 × 141,706
4. Step 4: Simplify right side
   105,164x = 20,080,590,436
5. Step 5: Solve for x
   x = 20,080,590,436/105,164
6. Step 6: Final answer
   x = 190,945.48