Finding the Third Proportional to 116,763 and 181,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,763 : 181,168.50 = 181,168.50 : x
2. Step 2: Convert to fraction form
   116,763/181,168.50 = 181,168.50/x
3. Step 3: Cross multiply
   116,763x = 181,168.50 × 181,168.50
4. Step 4: Simplify right side
   116,763x = 32,822,025,392.25
5. Step 5: Solve for x
   x = 32,822,025,392.25/116,763
6. Step 6: Final answer
   x = 281,099.54