Finding the Third Proportional to 105,803 and 143,531

Step by Step Solution

1. Step 1: Write the proportion equation
   105,803 : 143,531 = 143,531 : x
2. Step 2: Convert to fraction form
   105,803/143,531 = 143,531/x
3. Step 3: Cross multiply
   105,803x = 143,531 × 143,531
4. Step 4: Simplify right side
   105,803x = 20,601,147,961
5. Step 5: Solve for x
   x = 20,601,147,961/105,803
6. Step 6: Final answer
   x = 194,712.32