Finding the Third Proportional to 123,058 and 189,781

Step by Step Solution

1. Step 1: Write the proportion equation
   123,058 : 189,781 = 189,781 : x
2. Step 2: Convert to fraction form
   123,058/189,781 = 189,781/x
3. Step 3: Cross multiply
   123,058x = 189,781 × 189,781
4. Step 4: Simplify right side
   123,058x = 36,016,827,961
5. Step 5: Solve for x
   x = 36,016,827,961/123,058
6. Step 6: Final answer
   x = 292,681.73