Finding the Third Proportional to 123,066 and 189,063

Step by Step Solution

1. Step 1: Write the proportion equation
   123,066 : 189,063 = 189,063 : x
2. Step 2: Convert to fraction form
   123,066/189,063 = 189,063/x
3. Step 3: Cross multiply
   123,066x = 189,063 × 189,063
4. Step 4: Simplify right side
   123,066x = 35,744,817,969
5. Step 5: Solve for x
   x = 35,744,817,969/123,066
6. Step 6: Final answer
   x = 290,452.42