Finding the Third Proportional to 105,732 and 145,206

Step by Step Solution

1. Step 1: Write the proportion equation
   105,732 : 145,206 = 145,206 : x
2. Step 2: Convert to fraction form
   105,732/145,206 = 145,206/x
3. Step 3: Cross multiply
   105,732x = 145,206 × 145,206
4. Step 4: Simplify right side
   105,732x = 21,084,782,436
5. Step 5: Solve for x
   x = 21,084,782,436/105,732
6. Step 6: Final answer
   x = 199,417.23