Finding the Third Proportional to 122,868 and 185,429

Step by Step Solution

1. Step 1: Write the proportion equation
   122,868 : 185,429 = 185,429 : x
2. Step 2: Convert to fraction form
   122,868/185,429 = 185,429/x
3. Step 3: Cross multiply
   122,868x = 185,429 × 185,429
4. Step 4: Simplify right side
   122,868x = 34,383,914,041
5. Step 5: Solve for x
   x = 34,383,914,041/122,868
6. Step 6: Final answer
   x = 279,844.34