Finding the Third Proportional to 89,599.50 and 139,846.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,599.50 : 139,846.50 = 139,846.50 : x
2. Step 2: Convert to fraction form
   89,599.50/139,846.50 = 139,846.50/x
3. Step 3: Cross multiply
   89,599.50x = 139,846.50 × 139,846.50
4. Step 4: Simplify right side
   89,599.50x = 19,557,043,562.25
5. Step 5: Solve for x
   x = 19,557,043,562.25/89,599.50
6. Step 6: Final answer
   x = 218,271.79