Finding the Third Proportional to 115,443 and 180,454.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,443 : 180,454.50 = 180,454.50 : x
2. Step 2: Convert to fraction form
   115,443/180,454.50 = 180,454.50/x
3. Step 3: Cross multiply
   115,443x = 180,454.50 × 180,454.50
4. Step 4: Simplify right side
   115,443x = 32,563,826,570.25
5. Step 5: Solve for x
   x = 32,563,826,570.25/115,443
6. Step 6: Final answer
   x = 282,077.10