Finding the Third Proportional to 122,002.50 and 182,355

Step by Step Solution

1. Step 1: Write the proportion equation
   122,002.50 : 182,355 = 182,355 : x
2. Step 2: Convert to fraction form
   122,002.50/182,355 = 182,355/x
3. Step 3: Cross multiply
   122,002.50x = 182,355 × 182,355
4. Step 4: Simplify right side
   122,002.50x = 33,253,346,025
5. Step 5: Solve for x
   x = 33,253,346,025/122,002.50
6. Step 6: Final answer
   x = 272,562.82