Finding the Third Proportional to 105,820 and 143,715

Step by Step Solution

1. Step 1: Write the proportion equation
   105,820 : 143,715 = 143,715 : x
2. Step 2: Convert to fraction form
   105,820/143,715 = 143,715/x
3. Step 3: Cross multiply
   105,820x = 143,715 × 143,715
4. Step 4: Simplify right side
   105,820x = 20,654,001,225
5. Step 5: Solve for x
   x = 20,654,001,225/105,820
6. Step 6: Final answer
   x = 195,180.51