Finding the Third Proportional to 25,578 and 54,193.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,578 : 54,193.50 = 54,193.50 : x
2. Step 2: Convert to fraction form
   25,578/54,193.50 = 54,193.50/x
3. Step 3: Cross multiply
   25,578x = 54,193.50 × 54,193.50
4. Step 4: Simplify right side
   25,578x = 2,936,935,442.25
5. Step 5: Solve for x
   x = 2,936,935,442.25/25,578
6. Step 6: Final answer
   x = 114,822.72