Finding the Third Proportional to 103,968 and 152,472

Step by Step Solution

1. Step 1: Write the proportion equation
   103,968 : 152,472 = 152,472 : x
2. Step 2: Convert to fraction form
   103,968/152,472 = 152,472/x
3. Step 3: Cross multiply
   103,968x = 152,472 × 152,472
4. Step 4: Simplify right side
   103,968x = 23,247,710,784
5. Step 5: Solve for x
   x = 23,247,710,784/103,968
6. Step 6: Final answer
   x = 223,604.48