Finding the Third Proportional to 122,892.75 and 185,205.38

Step by Step Solution

1. Step 1: Write the proportion equation
   122,892.75 : 185,205.38 = 185,205.38 : x
2. Step 2: Convert to fraction form
   122,892.75/185,205.38 = 185,205.38/x
3. Step 3: Cross multiply
   122,892.75x = 185,205.38 × 185,205.38
4. Step 4: Simplify right side
   122,892.75x = 34,301,030,928.89
5. Step 5: Solve for x
   x = 34,301,030,928.89/122,892.75
6. Step 6: Final answer
   x = 279,113.54