Finding the Third Proportional to 116,566 and 180,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,566 : 180,013.50 = 180,013.50 : x
2. Step 2: Convert to fraction form
   116,566/180,013.50 = 180,013.50/x
3. Step 3: Cross multiply
   116,566x = 180,013.50 × 180,013.50
4. Step 4: Simplify right side
   116,566x = 32,404,860,182.25
5. Step 5: Solve for x
   x = 32,404,860,182.25/116,566
6. Step 6: Final answer
   x = 277,995.82