Finding the Third Proportional to 25,674 and 55,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,674 : 55,180.50 = 55,180.50 : x
2. Step 2: Convert to fraction form
   25,674/55,180.50 = 55,180.50/x
3. Step 3: Cross multiply
   25,674x = 55,180.50 × 55,180.50
4. Step 4: Simplify right side
   25,674x = 3,044,887,580.25
5. Step 5: Solve for x
   x = 3,044,887,580.25/25,674
6. Step 6: Final answer
   x = 118,598.10