Finding the Third Proportional to 113,863.50 and 180,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,863.50 : 180,970.50 = 180,970.50 : x
2. Step 2: Convert to fraction form
   113,863.50/180,970.50 = 180,970.50/x
3. Step 3: Cross multiply
   113,863.50x = 180,970.50 × 180,970.50
4. Step 4: Simplify right side
   113,863.50x = 32,750,321,870.25
5. Step 5: Solve for x
   x = 32,750,321,870.25/113,863.50
6. Step 6: Final answer
   x = 287,627.92