Finding the Third Proportional to 122,928 and 185,522.63

Step by Step Solution

1. Step 1: Write the proportion equation
   122,928 : 185,522.63 = 185,522.63 : x
2. Step 2: Convert to fraction form
   122,928/185,522.63 = 185,522.63/x
3. Step 3: Cross multiply
   122,928x = 185,522.63 × 185,522.63
4. Step 4: Simplify right side
   122,928x = 34,418,644,386.89
5. Step 5: Solve for x
   x = 34,418,644,386.89/122,928
6. Step 6: Final answer
   x = 279,990.27