Finding the Third Proportional to 27,409 and 56,978

Step by Step Solution

1. Step 1: Write the proportion equation
   27,409 : 56,978 = 56,978 : x
2. Step 2: Convert to fraction form
   27,409/56,978 = 56,978/x
3. Step 3: Cross multiply
   27,409x = 56,978 × 56,978
4. Step 4: Simplify right side
   27,409x = 3,246,492,484
5. Step 5: Solve for x
   x = 3,246,492,484/27,409
6. Step 6: Final answer
   x = 118,446.22