Finding the Third Proportional to 110,025 and 165,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,025 : 165,280.50 = 165,280.50 : x
2. Step 2: Convert to fraction form
   110,025/165,280.50 = 165,280.50/x
3. Step 3: Cross multiply
   110,025x = 165,280.50 × 165,280.50
4. Step 4: Simplify right side
   110,025x = 27,317,643,680.25
5. Step 5: Solve for x
   x = 27,317,643,680.25/110,025
6. Step 6: Final answer
   x = 248,285.79