Finding the Third Proportional to 105,114 and 141,624

Step by Step Solution

1. Step 1: Write the proportion equation
   105,114 : 141,624 = 141,624 : x
2. Step 2: Convert to fraction form
   105,114/141,624 = 141,624/x
3. Step 3: Cross multiply
   105,114x = 141,624 × 141,624
4. Step 4: Simplify right side
   105,114x = 20,057,357,376
5. Step 5: Solve for x
   x = 20,057,357,376/105,114
6. Step 6: Final answer
   x = 190,815.28