Finding the Third Proportional to 116,673 and 180,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,673 : 180,997.50 = 180,997.50 : x
2. Step 2: Convert to fraction form
   116,673/180,997.50 = 180,997.50/x
3. Step 3: Cross multiply
   116,673x = 180,997.50 × 180,997.50
4. Step 4: Simplify right side
   116,673x = 32,760,095,006.25
5. Step 5: Solve for x
   x = 32,760,095,006.25/116,673
6. Step 6: Final answer
   x = 280,785.57