Finding the Third Proportional to 85,050 and 186,462

Step by Step Solution

1. Step 1: Write the proportion equation
   85,050 : 186,462 = 186,462 : x
2. Step 2: Convert to fraction form
   85,050/186,462 = 186,462/x
3. Step 3: Cross multiply
   85,050x = 186,462 × 186,462
4. Step 4: Simplify right side
   85,050x = 34,768,077,444
5. Step 5: Solve for x
   x = 34,768,077,444/85,050
6. Step 6: Final answer
   x = 408,795.74