Finding the Third Proportional to 116,529 and 179,944.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,529 : 179,944.50 = 179,944.50 : x
2. Step 2: Convert to fraction form
   116,529/179,944.50 = 179,944.50/x
3. Step 3: Cross multiply
   116,529x = 179,944.50 × 179,944.50
4. Step 4: Simplify right side
   116,529x = 32,380,023,080.25
5. Step 5: Solve for x
   x = 32,380,023,080.25/116,529
6. Step 6: Final answer
   x = 277,870.94