Finding the Third Proportional to 123,054 and 189,774

Step by Step Solution

1. Step 1: Write the proportion equation
   123,054 : 189,774 = 189,774 : x
2. Step 2: Convert to fraction form
   123,054/189,774 = 189,774/x
3. Step 3: Cross multiply
   123,054x = 189,774 × 189,774
4. Step 4: Simplify right side
   123,054x = 36,014,171,076
5. Step 5: Solve for x
   x = 36,014,171,076/123,054
6. Step 6: Final answer
   x = 292,669.65