Finding the Third Proportional to 116,647.50 and 180,965.25

Step by Step Solution

1. Step 1: Write the proportion equation
   116,647.50 : 180,965.25 = 180,965.25 : x
2. Step 2: Convert to fraction form
   116,647.50/180,965.25 = 180,965.25/x
3. Step 3: Cross multiply
   116,647.50x = 180,965.25 × 180,965.25
4. Step 4: Simplify right side
   116,647.50x = 32,748,421,707.56
5. Step 5: Solve for x
   x = 32,748,421,707.56/116,647.50
6. Step 6: Final answer
   x = 280,746.88