Finding the Third Proportional to 105,828 and 141,082

Step by Step Solution

1. Step 1: Write the proportion equation
   105,828 : 141,082 = 141,082 : x
2. Step 2: Convert to fraction form
   105,828/141,082 = 141,082/x
3. Step 3: Cross multiply
   105,828x = 141,082 × 141,082
4. Step 4: Simplify right side
   105,828x = 19,904,130,724
5. Step 5: Solve for x
   x = 19,904,130,724/105,828
6. Step 6: Final answer
   x = 188,080.00