Finding the Third Proportional to 105,735 and 143,532

Step by Step Solution

1. Step 1: Write the proportion equation
   105,735 : 143,532 = 143,532 : x
2. Step 2: Convert to fraction form
   105,735/143,532 = 143,532/x
3. Step 3: Cross multiply
   105,735x = 143,532 × 143,532
4. Step 4: Simplify right side
   105,735x = 20,601,435,024
5. Step 5: Solve for x
   x = 20,601,435,024/105,735
6. Step 6: Final answer
   x = 194,840.26