Finding the Third Proportional to 123,071 and 189,856

Step by Step Solution

1. Step 1: Write the proportion equation
   123,071 : 189,856 = 189,856 : x
2. Step 2: Convert to fraction form
   123,071/189,856 = 189,856/x
3. Step 3: Cross multiply
   123,071x = 189,856 × 189,856
4. Step 4: Simplify right side
   123,071x = 36,045,300,736
5. Step 5: Solve for x
   x = 36,045,300,736/123,071
6. Step 6: Final answer
   x = 292,882.16