Finding the Third Proportional to 105,178 and 141,719

Step by Step Solution

1. Step 1: Write the proportion equation
   105,178 : 141,719 = 141,719 : x
2. Step 2: Convert to fraction form
   105,178/141,719 = 141,719/x
3. Step 3: Cross multiply
   105,178x = 141,719 × 141,719
4. Step 4: Simplify right side
   105,178x = 20,084,274,961
5. Step 5: Solve for x
   x = 20,084,274,961/105,178
6. Step 6: Final answer
   x = 190,955.09