Finding the Third Proportional to 116,649 and 180,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,649 : 180,967.50 = 180,967.50 : x
2. Step 2: Convert to fraction form
   116,649/180,967.50 = 180,967.50/x
3. Step 3: Cross multiply
   116,649x = 180,967.50 × 180,967.50
4. Step 4: Simplify right side
   116,649x = 32,749,236,056.25
5. Step 5: Solve for x
   x = 32,749,236,056.25/116,649
6. Step 6: Final answer
   x = 280,750.25