Finding the Third Proportional to 189,194 and 282,150

Step by Step Solution

1. Step 1: Write the proportion equation
   189,194 : 282,150 = 282,150 : x
2. Step 2: Convert to fraction form
   189,194/282,150 = 282,150/x
3. Step 3: Cross multiply
   189,194x = 282,150 × 282,150
4. Step 4: Simplify right side
   189,194x = 79,608,622,500
5. Step 5: Solve for x
   x = 79,608,622,500/189,194
6. Step 6: Final answer
   x = 420,777.73