Finding the Third Proportional to 27,978 and 58,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,978 : 58,315.50 = 58,315.50 : x
2. Step 2: Convert to fraction form
   27,978/58,315.50 = 58,315.50/x
3. Step 3: Cross multiply
   27,978x = 58,315.50 × 58,315.50
4. Step 4: Simplify right side
   27,978x = 3,400,697,540.25
5. Step 5: Solve for x
   x = 3,400,697,540.25/27,978
6. Step 6: Final answer
   x = 121,548.99