Finding the Third Proportional to 111,738 and 143,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,738 : 143,464.50 = 143,464.50 : x
2. Step 2: Convert to fraction form
   111,738/143,464.50 = 143,464.50/x
3. Step 3: Cross multiply
   111,738x = 143,464.50 × 143,464.50
4. Step 4: Simplify right side
   111,738x = 20,582,062,760.25
5. Step 5: Solve for x
   x = 20,582,062,760.25/111,738
6. Step 6: Final answer
   x = 184,199.31