Finding the Third Proportional to 123,791 and 185,961

Step by Step Solution

1. Step 1: Write the proportion equation
   123,791 : 185,961 = 185,961 : x
2. Step 2: Convert to fraction form
   123,791/185,961 = 185,961/x
3. Step 3: Cross multiply
   123,791x = 185,961 × 185,961
4. Step 4: Simplify right side
   123,791x = 34,581,493,521
5. Step 5: Solve for x
   x = 34,581,493,521/123,791
6. Step 6: Final answer
   x = 279,353.86