Finding the Third Proportional to 103,728 and 152,292

Step by Step Solution

1. Step 1: Write the proportion equation
   103,728 : 152,292 = 152,292 : x
2. Step 2: Convert to fraction form
   103,728/152,292 = 152,292/x
3. Step 3: Cross multiply
   103,728x = 152,292 × 152,292
4. Step 4: Simplify right side
   103,728x = 23,192,853,264
5. Step 5: Solve for x
   x = 23,192,853,264/103,728
6. Step 6: Final answer
   x = 223,592.99