Finding the Third Proportional to 123,036 and 189,747

Step by Step Solution

1. Step 1: Write the proportion equation
   123,036 : 189,747 = 189,747 : x
2. Step 2: Convert to fraction form
   123,036/189,747 = 189,747/x
3. Step 3: Cross multiply
   123,036x = 189,747 × 189,747
4. Step 4: Simplify right side
   123,036x = 36,003,924,009
5. Step 5: Solve for x
   x = 36,003,924,009/123,036
6. Step 6: Final answer
   x = 292,629.18