Finding the Third Proportional to 116,661 and 180,985.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,661 : 180,985.50 = 180,985.50 : x
2. Step 2: Convert to fraction form
   116,661/180,985.50 = 180,985.50/x
3. Step 3: Cross multiply
   116,661x = 180,985.50 × 180,985.50
4. Step 4: Simplify right side
   116,661x = 32,755,751,210.25
5. Step 5: Solve for x
   x = 32,755,751,210.25/116,661
6. Step 6: Final answer
   x = 280,777.22