Finding the Third Proportional to 105,972 and 148,530

Step by Step Solution

1. Step 1: Write the proportion equation
   105,972 : 148,530 = 148,530 : x
2. Step 2: Convert to fraction form
   105,972/148,530 = 148,530/x
3. Step 3: Cross multiply
   105,972x = 148,530 × 148,530
4. Step 4: Simplify right side
   105,972x = 22,061,160,900
5. Step 5: Solve for x
   x = 22,061,160,900/105,972
6. Step 6: Final answer
   x = 208,179.15