Finding the Third Proportional to 116,656.50 and 180,451.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,656.50 : 180,451.50 = 180,451.50 : x
2. Step 2: Convert to fraction form
   116,656.50/180,451.50 = 180,451.50/x
3. Step 3: Cross multiply
   116,656.50x = 180,451.50 × 180,451.50
4. Step 4: Simplify right side
   116,656.50x = 32,562,743,852.25
5. Step 5: Solve for x
   x = 32,562,743,852.25/116,656.50
6. Step 6: Final answer
   x = 279,133.56