Finding the Third Proportional to 119,832 and 263,221.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,832 : 263,221.50 = 263,221.50 : x
2. Step 2: Convert to fraction form
   119,832/263,221.50 = 263,221.50/x
3. Step 3: Cross multiply
   119,832x = 263,221.50 × 263,221.50
4. Step 4: Simplify right side
   119,832x = 69,285,558,062.25
5. Step 5: Solve for x
   x = 69,285,558,062.25/119,832
6. Step 6: Final answer
   x = 578,189.12