Finding the Third Proportional to 52,019 and 122,721.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,019 : 122,721.50 = 122,721.50 : x
2. Step 2: Convert to fraction form
   52,019/122,721.50 = 122,721.50/x
3. Step 3: Cross multiply
   52,019x = 122,721.50 × 122,721.50
4. Step 4: Simplify right side
   52,019x = 15,060,566,562.25
5. Step 5: Solve for x
   x = 15,060,566,562.25/52,019
6. Step 6: Final answer
   x = 289,520.49