Finding the Third Proportional to 119,658 and 185,799

Step by Step Solution

1. Step 1: Write the proportion equation
   119,658 : 185,799 = 185,799 : x
2. Step 2: Convert to fraction form
   119,658/185,799 = 185,799/x
3. Step 3: Cross multiply
   119,658x = 185,799 × 185,799
4. Step 4: Simplify right side
   119,658x = 34,521,268,401
5. Step 5: Solve for x
   x = 34,521,268,401/119,658
6. Step 6: Final answer
   x = 288,499.46